Prove2Me

Analytic construction propositions, part 5

Definition
erdos390_remaining_analytic_propositions_005

by doctosil · Sep 17, 2026 · Mathlib c5ea003 (Lean v4.30.0)

analytic-number-theoryerdos-390

Named propositions for the remaining analytic and finite construction estimates in the Erdős 390 central-anchor proof. Each name expands to the complete quantified statement, including every hypothesis and universe parameter. These definitions introduce no assertion of the propositions; their proofs are submitted separately. This part includes the following source declarations: exists_bankPaperCanonicalSectionNinePostHeight_sourceFirstLedgerFamilies, exists_bankPaperCanonicalSectionNinePostHeight_sourceFirstPreMeshEventualCoherentBridgeSourceObligation, exists_bankPaperCanonicalSectionNinePostHeight_sourceFirstPreMeshPlacedSelectorProvider, exists_bankPaperCanonicalSectionNinePostHeight_sourceFirstPreMeshUniformP87.

Definition code
import Definitions.Def_erdos390_analytic_foundations_001
import Definitions.Def_erdos390_analytic_foundations_002
import Definitions.Def_erdos390_analytic_foundations_003
import Definitions.Def_erdos390_analytic_foundations_004
import Definitions.Def_erdos390_analytic_foundations_005
import Definitions.Def_erdos390_analytic_foundations_006
import Definitions.Def_erdos390_analytic_foundations_007
import Definitions.Def_erdos390_analytic_foundations_008
import Definitions.Def_erdos390_analytic_foundations_009
import Definitions.Def_erdos390_analytic_foundations_010
import Definitions.Def_erdos390_dickman_step_function
import Definitions.Def_erdos390_source_bank_interface
import Mathlib
import Theorems.Thm_Erdos390_Full_DickmanBasic_kernel_product_bound
import Theorems.Thm_Erdos390_Full_DickmanBasic_kernel_secondDerivative_first_bound
import Theorems.Thm_Erdos390_Full_DickmanBasic_rho_pos_on_zero_five
import Theorems.Thm_MediumPNT
universe u_1
set_option maxRecDepth 10000
set_option maxHeartbeats 0

noncomputable def Erdos390.RemainingAnalyticGoal005_001 : Prop :=
∀ {P : Finset.{0} Nat} {Band : Type u_1} [inst : Fintype.{u_1} Band] [inst_1 : DecidableEq.{u_1 + 1} Band] {c deltaStar betaProt betaAct : Real} {depth N W K0 : Nat},
  @LT.lt.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 0) _) c →
    @LT.lt.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 0) _) deltaStar →
      @LT.lt.{0} Real _ deltaStar (@OfNat.ofNat.{0} Real (nat_lit 1) _) →
        ∀ (F : Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily c depth N) (source : (n : Nat) → @LE.le.{0} Nat _ N n → @Sigma.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))),
          @Filter.Eventually.{0} Nat
              (fun (n : Nat) =>
                ∀ (hn : @LE.le.{0} Nat _ N n),
                  let X := source n hn;
                  let B := @Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X;
                  let R := @Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X));
                  let certificate := @Sigma.snd.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X));
                  let T := @Prod.snd.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X);
                  let alpha := @Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalPostHfitBalancedAlpha.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B c K0 betaProt betaAct;
                  let qTilde := @Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedGuardedSmoothBaseMass c depth N F W (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) betaAct deltaStar n;
                  And (@Eq.{1} Nat (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B)) n)
                    (And (@Eq.{1} Nat (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.W.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B)) W)
                      (And (@Eq.{1} Real qTilde (@Erdos390.WholePaper.bankPaperCanonicalGuardedSmoothBaseMass c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) depth) R certificate deltaStar (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.W.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B)) (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) betaAct))
                        (And (@LE.le.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 1) _) qTilde)
                          (And (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.HeadPatternsSeparated.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))
                            (And (@HasSubset.Subset.{0} (Finset.{0} Nat) _ (@Erdos390.WholePaper.bankPaperCanonicalStructuredActiveValues.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B)) (@Erdos390.WholePaper.BankPaperRealization.roughCanonicalGuardedRow c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} 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(@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) 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X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ 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X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) depth) R certificate deltaStar (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) (@OfNat.ofNat.{0} Nat (nat_lit 1) _)))
                              (And (And (@LE.le.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 0) _) alpha) (@LE.le.{0} Real _ alpha (@OfNat.ofNat.{0} Real (nat_lit 1) _))) (And (And (@LE.le.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 0) _) (@HDiv.hDiv.{0, 0, 0} Real Real Real _ betaProt (@Erdos390.Full.PaperBridgeFit.BridgeData.L.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@LE.le.{0} Real _ (@HDiv.hDiv.{0, 0, 0} Real Real Real _ betaProt (@Erdos390.Full.PaperBridgeFit.BridgeData.L.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B)) (@OfNat.ofNat.{0} Real (nat_lit 1) _))) (And (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalTopFrozenRoundedSourceResidualInputsAt.{u_1} P Band _ _ B c depth (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) R certificate (@Erdos390.WholePaper.BankPaperRealization.paperFixedExceptionalFactors (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) R deltaStar) T deltaStar betaProt alpha (@HAdd.hAdd.{0, 0, 0} Real Real Real _ betaProt betaAct) qTilde) (@Eq.{1} Nat (@Erdos390.WholePaper.GuardedCentralAnchorCertificate.prechargedTailTarget c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) depth) certificate) (@Erdos390.WholePaper.GuardedCentralAnchorCertificate.prechargedTailTarget c depth n (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore n (Erdos390.WholePaper.upperEndpoint n (Erdos390.WholePaper.upperTailLength c n)) (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.realization c depth N F n hn)) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore n (Erdos390.WholePaper.upperEndpoint n (Erdos390.WholePaper.upperTailLength c n)) (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.realization c depth N F n hn)) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers n (Erdos390.WholePaper.upperEndpoint n (Erdos390.WholePaper.upperTailLength c n)) (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.realization c depth N F n hn) depth) (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.certificate c depth N F n hn))))))))))))
              (@Filter.atTop.{0} Nat _) →
            @Exists.{1} (Nat → Real) fun (logY : Nat → Real) =>
              @Exists.{1} (Nat → Real) fun (Lambda0 : Nat → Real) =>
                @Exists.{1} (Nat → Real) fun (mFrozen : Nat → Real) =>
                  And (@Eq.{1} (Nat → Real) logY (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedPrechargedTailLogTarget c depth N F))
                    (And (Erdos390.WholePaper.BankPaperCanonicalSectionEightAnalyticLedger (fun (n : Nat) => Erdos390.WholePaper.bankPaperCanonicalRawSmoothBaseMass W n (Erdos390.WholePaper.upperTailLength c n) (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) betaAct) (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedGuardedSmoothBaseMass c depth N F W (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) betaAct deltaStar) (Erdos390.WholePaper.bankPaperCanonicalSmoothA0Family logY Lambda0 mFrozen (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedGuardedSmoothBaseMass c depth N F W (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) betaAct deltaStar)))
                      (@Filter.Eventually.{0} Nat
                        (fun (n : Nat) =>
                          ∀ (hn : @LE.le.{0} Nat _ N n),
                            let X := source n hn;
                            let B := @Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X;
                            let R := @Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X));
                            let certificate := @Sigma.snd.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X));
                            let T := @Prod.snd.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ (@Sigma.fst.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X))) (@Sigma.snd.{u_1, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag P) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B))) X);
                            let alpha := @Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalPostHfitBalancedAlpha.{0, u_1} (Erdos390.Full.PaperHeadSimplex.Tag P) Band _ _ _ _ B c K0 betaProt betaAct;
                            let qTilde := @Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedGuardedSmoothBaseMass c depth N F W (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) betaAct deltaStar n;
                            And (@Eq.{1} Real (mFrozen n) (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalTopFrozenSmoothFrozenMass.{u_1} P Band _ _ B c depth (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) R certificate deltaStar betaProt alpha)) (And (@Eq.{1} Real (logY n) (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalSectionNinePostHeightLogY.{u_1} P Band _ _ B c depth R certificate)) (@Eq.{1} Real (Lambda0 n) (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalSectionNinePostHeightRoundedLambda0.{u_1} P Band _ _ (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) B c depth R certificate T deltaStar betaProt alpha (@HAdd.hAdd.{0, 0, 0} Real Real Real _ betaProt betaAct) qTilde))))
                        (@Filter.atTop.{0} Nat _)))

noncomputable def Erdos390.RemainingAnalyticGoal005_002 : Prop :=
∀ {c deltaStar betaProt betaAct : Real} {depth N W K0 : Nat},
  LT.lt.{0} Erdos390.WholePaper.C0 c →
    Erdos390.WholePaper.IsPaperCombinedChargeDeltaStar c deltaStar →
      LT.lt.{0} (0 : Nat) W →
        LE.le.{0} (0 : Real) betaProt →
          LT.lt.{0} (0 : Real) betaAct →
            LE.le.{0} (HAdd.hAdd.{0, 0, 0} betaProt betaAct)
                (HDiv.hDiv.{0, 0, 0} c (Erdos390.WholePaper.roughHeadDensity W)) →
              LE.le.{0} (HDiv.hDiv.{0, 0, 0} (1 : Real) (Erdos390.WholePaper.roughHeadDensity W))
                  ↑(HAdd.hAdd.{0, 0, 0} K0 (1 : Nat)) →
                LE.le.{0} (HAdd.hAdd.{0, 0, 0} (HMul.hMul.{0, 0, 0} (2 : Nat) depth) (1 : Nat)) W →
                  ∀ (F : Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily c depth N),
                    (∀ (n : Nat) (hn : LE.le.{0} N n),
                        have R := Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.realization F n hn;
                        have certificate := Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.certificate F n hn;
                        And
                          (Dvd.dvd.{0}
                            (HMul.hMul.{0, 0, 0}
                              (Erdos390.WholePaper.centralAnchorDivisor n
                                (Erdos390.WholePaper.centralAnchorCutoff depth n)
                                (Erdos390.WholePaper.GuardedCentralAnchorCertificate.q certificate))
                              (Erdos390.WholePaper.BankPaperRealization.prechargeBaseStateProduct R))
                            (Erdos390.WholePaper.centralTailProduct n (Erdos390.WholePaper.upperTailLength c n)))
                          (And
                            (Dvd.dvd.{0}
                              (Finset.prod.{0, 0}
                                (Erdos390.WholePaper.baseBankFactors.{0}
                                  (Erdos390.WholePaper.BankPaperRealization.exactificationState R))
                                id.{1})
                              (Erdos390.WholePaper.GuardedCentralAnchorCertificate.prechargedTailTarget certificate))
                            (And
                              (Dvd.dvd.{0}
                                (Erdos390.WholePaper.BankPaperRealization.selectorTailCharge R
                                  (Erdos390.WholePaper.BankPaperRealization.paperFixedExceptionalFactors R deltaStar))
                                (Erdos390.WholePaper.GuardedCentralAnchorCertificate.prechargedTailTarget certificate))
                              (And
                                (∀ (p : Nat),
                                  Membership.mem.{0, 0}
                                      (Erdos390.WholePaper.primesUpTo
                                        (HAdd.hAdd.{0, 0, 0} (HMul.hMul.{0, 0, 0} (2 : Nat) depth) (1 : Nat)))
                                      p →
                                    LE.le.{0}
                                      (HAdd.hAdd.{0, 0, 0}
                                        (HMul.hMul.{0, 0, 0}
                                          (HDiv.hDiv.{0, 0, 0} (HSub.hSub.{0, 0, 0} c Erdos390.WholePaper.C0)
                                            (HMul.hMul.{0, 0, 0} (24 : Real) ↑(HSub.hSub.{0, 0, 0} p (1 : Nat))))
                                          (Erdos390.WholePaper.secondOrderScale n))
                                        ↑((Nat.factorization
                                              (Erdos390.WholePaper.BankPaperRealization.selectorTailCharge R
                                                (Erdos390.WholePaper.BankPaperRealization.paperFixedExceptionalFactors R
                                                  deltaStar)))
                                            p))
                                      ↑((Nat.factorization
                                            (Erdos390.WholePaper.GuardedCentralAnchorCertificate.prechargedTailTarget
                                              certificate))
                                          p))
                                (And
                                  (Eq.{1}
                                    (HMul.hMul.{0, 0, 0}
                                      (Erdos390.WholePaper.GuardedCentralAnchorCertificate.selectorTailTarget
                                        certificate R
                                        (Erdos390.WholePaper.BankPaperRealization.paperFixedExceptionalFactors R
                                          deltaStar))
                                      (Erdos390.WholePaper.BankPaperRealization.selectorTailCharge R
                                        (Erdos390.WholePaper.BankPaperRealization.paperFixedExceptionalFactors R
                                          deltaStar)))
                                    (Erdos390.WholePaper.GuardedCentralAnchorCertificate.prechargedTailTarget
                                      certificate))
                                  (Eq.{1}
                                    (HMul.hMul.{0, 0, 0}
                                      (Erdos390.WholePaper.GuardedCentralAnchorCertificate.prechargedTailTarget
                                        certificate)
                                      (Erdos390.WholePaper.centralAnchorDivisor n
                                        (Erdos390.WholePaper.centralAnchorCutoff depth n)
                                        (Erdos390.WholePaper.GuardedCentralAnchorCertificate.q certificate)))
                                    (Erdos390.WholePaper.centralTailProduct n
                                      (Erdos390.WholePaper.upperTailLength c n)))))))) →
                      let P := Erdos390.WholePaper.primesUpTo W;
                      have hprime := Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeight_primesUpTo_prime W;
                      have I := Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals;
                      have G := Erdos390.WholePaper.roughCanonicalBridgeRelevantLedgerFamily depth;
                      ∃ E sourceCellMargin postMargin Cmass density logY Lambda0 mFrozen,
                        have Patterns := Erdos390.Full.PaperHeadSimplex.pattern P hprime E;
                        have qTilde :=
                          Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedGuardedSmoothBaseMass F W
                            (HAdd.hAdd.{0, 0, 0} K0 (1 : Nat)) betaAct deltaStar;
                        have physicalEtaFloor :=
                          HDiv.hDiv.{0, 0, 0} Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalEta
                            (2 : Real);
                        have postCellMargin :=
                          HMul.hMul.{0, 0, 0} postMargin
                            (HDiv.hDiv.{0, 0, 0} physicalEtaFloor
                              (Erdos390.Full.PaperGuardCensus.PhysicalInterpolationTarget.physicalSpan I));
                        And (LT.lt.{0} (0 : Nat) E)
                          (And (LT.lt.{0} (0 : Real) sourceCellMargin)
                            (And (LT.lt.{0} (0 : Real) postMargin)
                              (And (LT.lt.{0} (0 : Real) physicalEtaFloor)
                                (And (LT.lt.{0} (0 : Real) postCellMargin)
                                  (And (LT.lt.{0} (0 : Real) Cmass)
                                    (And (LT.lt.{0} (0 : Real) density)
                                      (And
                                        (Eq.{1} logY
                                          (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedPrechargedTailLogTarget
                                            F))
                                        (And
                                          (Erdos390.WholePaper.BankPaperCanonicalSectionEightAnalyticLedger
                                            (fun n =>
                                              Erdos390.WholePaper.bankPaperCanonicalRawSmoothBaseMass W n
                                                (Erdos390.WholePaper.upperTailLength c n)
                                                (HAdd.hAdd.{0, 0, 0} K0 (1 : Nat)) betaAct)
                                            qTilde
                                            (Erdos390.WholePaper.bankPaperCanonicalSmoothA0Family logY Lambda0 mFrozen
                                              qTilde))
                                          (∀ {delta eta : Real} (M : Erdos390.Full.RegularRelativeMesh.Mesh delta eta)
                                            (hdelta : LT.lt.{0} (0 : Real) delta),
                                            ∃ B,
                                              Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightEventualCoherentBridgeSourceObligation
                                                P Patterns I (2 : Nat) (0 : Nat) G depth W K0 E N F deltaStar betaProt
                                                betaAct
                                                Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalMu
                                                sourceCellMargin postMargin physicalEtaFloor postCellMargin Cmass
                                                density logY Lambda0 mFrozen qTilde M hdelta B)))))))))

noncomputable def Erdos390.RemainingAnalyticGoal005_003 : Prop :=
∀ {P : Finset.{0} Nat} (Patterns : Erdos390.Full.PaperHeadSimplex.Tag P → Erdos390.Full.HeadPattern.Pattern)
  (I : Erdos390.Full.PaperGuardCensus.PhysicalIntervals) (Cprom Cbank : Nat)
  (G : (n : Nat) → Erdos390.Full.PaperGuardCensus.Ledger n Cprom Cbank) {c : Real} (depth W K0 : Nat)
  (deltaStar betaProt betaAct mu : Real) (logY Lambda0 mFrozen qTilde : Nat → Real),
  Erdos390.WholePaper.BankPaperCanonicalSectionEightAnalyticLedger
      (fun (n : Nat) =>
        Erdos390.WholePaper.bankPaperCanonicalRawSmoothBaseMass W n (Erdos390.WholePaper.upperTailLength c n)
          (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat) K0
            (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1))))
          betaAct)
      qTilde (Erdos390.WholePaper.bankPaperCanonicalSmoothA0Family logY Lambda0 mFrozen qTilde) →
    @LE.le.{0} Nat instLENat (@OfNat.ofNat.{0} Nat (nat_lit 2) (instOfNatNat (nat_lit 2))) W →
      (∀ (h : Erdos390.Full.PaperHeadSimplex.Tag P) (q : Nat),
          @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) (Patterns h).primes
              q →
            @LE.le.{0} Nat instLENat q W) →
        @LT.lt.{0} Real Real.instLT (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero)) c →
          @LT.lt.{0} Real Real.instLT (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero))
              deltaStar →
            @LT.lt.{0} Real Real.instLT deltaStar
                (@HDiv.hDiv.{0, 0, 0} Real Real Real
                  (@instHDiv.{0} Real (@DivInvMonoid.toDiv.{0} Real Real.instDivInvMonoid))
                  (@OfNat.ofNat.{0} Real (nat_lit 1) (@One.toOfNat1.{0} Real Real.instOne))
                  (@OfNat.ofNat.{0} Real (nat_lit 18)
                    (@instOfNatAtLeastTwo.{0} Real (nat_lit 18) Real.instNatCast
                      (@Nat.instAtLeastTwoHAddOfNat (@OfNat.ofNat.{0} Nat (nat_lit 17) (instOfNatNat (nat_lit 17)))
                        (@Nat.instNeZeroSucc (@OfNat.ofNat.{0} Nat (nat_lit 16) (instOfNatNat (nat_lit 16)))))))) →
              @LT.lt.{0} Real Real.instLT (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero))
                  betaAct →
                @LE.le.{0} Nat instLENat
                    (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                      (@HMul.hMul.{0, 0, 0} Nat Nat Nat (@instHMul.{0} Nat instMulNat)
                        (@OfNat.ofNat.{0} Nat (nat_lit 2) (instOfNatNat (nat_lit 2))) depth)
                      (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1))))
                    W →
                  @LT.lt.{0} Real Real.instLT
                      (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero)) mu →
                    @Exists.{1} Real fun (Cinitial : Real) =>
                      And
                        (@LE.le.{0} Real Real.instLE
                          (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero)) Cinitial)
                        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightSourceFirstPreMeshPlacedSelectorCallback
                          P Patterns I Cprom Cbank G c depth W K0 deltaStar betaProt betaAct mu logY Lambda0 mFrozen
                          qTilde Cinitial)

noncomputable def Erdos390.RemainingAnalyticGoal005_004 : Prop :=
∀ (I : Erdos390.Full.PaperGuardCensus.PhysicalIntervals) (Cprom Cbank : Nat) (G : (n : Nat) → Erdos390.Full.PaperGuardCensus.Ledger n Cprom Cbank), Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightSourceFirstPreMeshUniformP87Statement I Cprom Cbank G
Source
https://github.com/ShouqiaoW/erdos/tree/61325b10bbdc29f4fb5e0618b414b9f2189333ad/390/lean

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