Constructing post-ledger bridge inputs with preselected margins
ProvedErdos390.WholePaper.BankPaperRealization.eventually_bankPaperCanonicalSectionNinePostHeight_sourceFirstPreselectedPostLedgerBridgeInputsFix , , a positive regular mesh, guarded tail family , and a fixed-rich-source witness . Let , an exponent , and positive be selected before the mesh. Require , where are the prescribed head upper coefficients, and require equal the prescribed head-margin formula from , the head linear floors, and . Suppose the scalar families eventually equal the witness frozen mass, logarithmic target, and rounded scalar. Let be the final active mass and height built from these families and the common extended guarded base mass. Suppose eventually , , and lies between the fixed physical log endpoints with half the prescribed physical margin on each side. Then eventually each source index has compatible head reserve, physical interpolation target, and post-height bridge inputs . They retain the source target and its source-cell margin, exponent , the literal selector-tail head factorizations, the base mass as both and the reserve active mass, and the prescribed family values for . In particular,
The final-mass upper constant and head margin remain those selected before the final mesh.
import Mathlib import Definitions.Def_erdos390_source_bank_interface import Definitions.Def_erdos390_dickman_step_function import Theorems.Thm_MediumPNT import Definitions.Def_erdos390_analytic_foundations_001 import Theorems.Thm_Erdos390_Full_DickmanBasic_kernel_product_bound import Theorems.Thm_Erdos390_Full_DickmanBasic_rho_pos_on_zero_five import Theorems.Thm_Erdos390_Full_DickmanBasic_kernel_secondDerivative_first_bound import Definitions.Def_erdos390_analytic_foundations_002 import Definitions.Def_erdos390_analytic_foundations_003 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
theorem Erdos390.WholePaper.BankPaperRealization.eventually_bankPaperCanonicalSectionNinePostHeight_sourceFirstPreselectedPostLedgerBridgeInputs :
∀ {delta eta : Real} (M : Erdos390.Full.RegularRelativeMesh.Mesh delta eta) {c deltaStar betaProt betaAct : Real} {depth N W K0 : Nat},
@LT.lt.{0} Real _ Erdos390.WholePaper.C0 c →
@LT.lt.{0} Nat _ (@OfNat.ofNat.{0} Nat (nat_lit 0) _) W →
∀ (hdelta : @LT.lt.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 0) _) delta) (F : Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily c depth N) (cSource : Real),
@LT.lt.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 0) _) cSource →
∀ (E : Nat) (sourceCellMargin : Real),
@LT.lt.{0} Nat _ (@OfNat.ofNat.{0} Nat (nat_lit 0) _) E →
@LE.le.{0} Real _ (@HMul.hMul.{0, 0, 0} Real Real Real _ (@OfNat.ofNat.{0} Real (nat_lit 2) _) (@Finset.sum.{0, 0} (@Subtype.{1} Nat fun (p : Nat) => @Membership.mem.{0, 0} Nat (Finset.{0} Nat) _ (Erdos390.WholePaper.primesUpTo W) p) Real _ (@Finset.univ.{0} (@Subtype.{1} Nat fun (p : Nat) => @Membership.mem.{0, 0} Nat (Finset.{0} Nat) _ (Erdos390.WholePaper.primesUpTo W) p) _) fun (p : @Subtype.{1} Nat fun (p : Nat) => @Membership.mem.{0, 0} Nat (Finset.{0} Nat) _ (Erdos390.WholePaper.primesUpTo W) p) => Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightHeadUpperCoefficient c (@Subtype.val.{1} Nat (fun (p : Nat) => @Membership.mem.{0, 0} Nat (Finset.{0} Nat) _ (Erdos390.WholePaper.primesUpTo W) p) p))) (@HMul.hMul.{0, 0, 0} Real Real Real _ (@Nat.cast.{0} Real _ E) (@HDiv.hDiv.{0, 0, 0} Real Real Real _ cSource (@OfNat.ofNat.{0} Real (nat_lit 4) _))) →
∀ (logY Lambda0 mFrozen : Nat → Real) (CfinalUpper postMargin : Real),
@LT.lt.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 0) _) CfinalUpper →
@Eq.{1} Real postMargin (@Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightHeadMargin (Erdos390.WholePaper.primesUpTo W) E (fun (x : @Subtype.{1} Nat fun (p : Nat) => @Membership.mem.{0, 0} Nat (Finset.{0} Nat) _ (Erdos390.WholePaper.primesUpTo W) p) => Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightHeadLinearFloor c W) CfinalUpper) →
@LT.lt.{0} Real _ (@OfNat.ofNat.{0} Real (nat_lit 0) _) postMargin →
∀ (X : @Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightFixedRichSourceWitness delta eta M c deltaStar betaProt betaAct sourceCellMargin depth N W K0 E hdelta F),
@Filter.Eventually.{0} Nat
(fun (n : Nat) =>
∀ (hn : @LE.le.{0} Nat _ N n),
let Y := @Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightFixedRichSourceWitness.source delta eta M c deltaStar betaProt betaAct sourceCellMargin depth N W K0 E hdelta F X n hn;
let B := @Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y;
let R := @Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y));
let certificate := @Sigma.snd.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y));
let T := @Prod.snd.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y);
let alpha := @Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalPostHfitBalancedAlpha.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ 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.{0} (Erdos390.WholePaper.primesUpTo W) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ 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.{0} (Erdos390.WholePaper.primesUpTo W) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ B c depth R certificate)) (@Eq.{1} Real (Lambda0 n) (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalSectionNinePostHeightRoundedLambda0.{0} (Erdos390.WholePaper.primesUpTo W) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ (@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 _) →
@Filter.Eventually.{0} Nat (fun (n : Nat) => And (@LE.le.{0} Real _ (@HMul.hMul.{0, 0, 0} Real Real Real _ (@HDiv.hDiv.{0, 0, 0} Real Real Real _ cSource (@OfNat.ofNat.{0} Real (nat_lit 4) _)) (Erdos390.WholePaper.secondOrderScale n)) (Erdos390.WholePaper.bankPaperCanonicalSmoothFinalActiveMassFamily Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalMu 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) n)) (And (@LE.le.{0} Real _ (@Norm.norm.{0} Real _ (Erdos390.WholePaper.bankPaperCanonicalSmoothFinalActiveMassFamily Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalMu 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) n)) (@HMul.hMul.{0, 0, 0} Real Real Real _ CfinalUpper (@Norm.norm.{0} Real _ (Erdos390.WholePaper.secondOrderScale n)))) (And (@LE.le.{0} Real _ (Real.log (Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals.upper Erdos390.Full.PaperBridgeFit.PhysicalSign.minus)) (@HSub.hSub.{0, 0, 0} Real Real Real _ (@HDiv.hDiv.{0, 0, 0} Real Real Real _ (Erdos390.WholePaper.bankPaperCanonicalSmoothFinalActiveHeightFamily Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalMu 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) n) (Erdos390.WholePaper.bankPaperCanonicalSmoothFinalActiveMassFamily Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalMu 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) n)) (@HDiv.hDiv.{0, 0, 0} Real Real Real _ Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalEta (@OfNat.ofNat.{0} Real (nat_lit 2) _)))) (@LE.le.{0} Real _ (@HAdd.hAdd.{0, 0, 0} Real Real Real _ (@HDiv.hDiv.{0, 0, 0} Real Real Real _ (Erdos390.WholePaper.bankPaperCanonicalSmoothFinalActiveHeightFamily Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalMu 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) n) (Erdos390.WholePaper.bankPaperCanonicalSmoothFinalActiveMassFamily Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalMu 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) n)) (@HDiv.hDiv.{0, 0, 0} Real Real Real _ Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalEta (@OfNat.ofNat.{0} Real (nat_lit 2) _))) (Real.log (Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals.lower Erdos390.Full.PaperBridgeFit.PhysicalSign.plus)))))) (@Filter.atTop.{0} Nat _) →
@Filter.Eventually.{0} Nat
(fun (n : Nat) =>
∀ (hn : @LE.le.{0} Nat _ N n),
let Y := @Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightFixedRichSourceWitness.source delta eta M c deltaStar betaProt betaAct sourceCellMargin depth N W K0 E hdelta F X n hn;
let B := @Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y;
let R := @Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y));
let certificate := @Sigma.snd.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y));
let T := @Prod.snd.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y);
let target := fun (p : @Subtype.{1} Nat fun (p : Nat) => @Membership.mem.{0, 0} Nat (Finset.{0} Nat) _ (Erdos390.WholePaper.primesUpTo W) p) =>
@Nat.cast.{0} Real _
(@DFunLike.coe.{1, 1, 1} (@Finsupp.{0, 0} Nat Nat _) Nat (fun (x : Nat) => Nat) _
(@Erdos390.WholePaper.GuardedCentralAnchorCertificate.selectorTailTarget c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))
(@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) (@Sigma.fst.{0, 0} (Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) (fun (R : Erdos390.WholePaper.BankPaperRealization (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))))) => Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R) (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperEndpoint (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (Erdos390.WholePaper.upperTailLength c (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))))) R depth)) (@Prod.fst.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y)))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ (@Sigma.fst.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) (@Sigma.snd.{0, 0} (@Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) (fun (B : @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _) => Prod.{0, 0} (Erdos390.WholePaper.BankPaperCanonicalGuardedTailFiber c depth (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.{0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) _ (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B))) Y))) depth) certificate R 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