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Constructing post-ledger bridge inputs with preselected margins

Proved
Erdos390.WholePaper.BankPaperRealization.eventually_bankPaperCanonicalSectionNinePostHeight_sourceFirstPreselectedPostLedgerBridgeInputs

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

analytic-number-theoryerdos-390erdos390-source-construction

Fix c>C0c>C_0c>C0​, W>0W>0W>0, a positive regular mesh, guarded tail family FFF, and a fixed-rich-source witness XXX. Let cs>0c_s>0cs​>0, an exponent E>0E>0E>0, and positive Cf,mC_f,mCf​,m be selected before the mesh. Require 2∑p≤Wbp≤E(cs/4)2\sum_{p\le W}b_p\le E(c_s/4)2∑p≤W​bp​≤E(cs​/4), where bpb_pbp​ are the prescribed head upper coefficients, and require mmm equal the prescribed head-margin formula from EEE, the head linear floors, and CfC_fCf​. Suppose the scalar families mf,ℓY,Λ0m_f,\ell_Y,\Lambda_0mf​,ℓY​,Λ0​ eventually equal the witness frozen mass, logarithmic target, and rounded scalar. Let qf,afq_f,a_fqf​,af​ be the final active mass and height built from these families and the common extended guarded base mass. Suppose eventually (cs/4)N≤qf(c_s/4)N\le q_f(cs​/4)N≤qf​, ∣qf∣≤Cf∣N∣|q_f|\le C_f|N|∣qf​∣≤Cf​∣N∣, and af/qfa_f/q_faf​/qf​ 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 JJJ. They retain the source target and its source-cell margin, exponent EEE, the literal selector-tail head factorizations, the base mass as both J.q~J.\widetilde qJ.q​ and the reserve active mass, and the prescribed family values for d,q0,A0,qnd,q_0,A_0,q_nd,q0​,A0​,qn​. In particular,

J.targetInputs.headMargin=m,J.targetInputs.physicalEta=12ηfixed.J.\mathrm{targetInputs.headMargin}=m,\qquad J.\mathrm{targetInputs.physicalEta}=\tfrac12\eta_{\rm fixed}.J.targetInputs.headMargin=m,J.targetInputs.physicalEta=21​ηfixed​.

The final-mass upper constant and head margin remain those selected before the final mesh.

Preamble
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

Formal statement
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)) 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(Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J) (Erdos390.WholePaper.bankPaperCanonicalSmoothA0Family logY Lambda0 mFrozen (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedGuardedSmoothBaseMass c depth N F W (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat _ K0 (@OfNat.ofNat.{0} Nat (nat_lit 1) _)) betaAct deltaStar) n)) (And (@Eq.{1} Real (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.qn delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J) (Erdos390.WholePaper.bankPaperCanonicalSmoothFinalActiveMassFamily Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalMu logY Lambda0 mFrozen (@Erdos390.WholePaper.BankPaperCanonicalGuardedTailFamily.extendedGuardedSmoothBaseMass c depth N F W 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(@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 (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.Tsource delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J) deltaStar (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J) (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalPostHfitBalancedAlpha.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag (Erdos390.WholePaper.primesUpTo W)) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ _ _ B c K0 (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J) (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaAct delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J)) (@HAdd.hAdd.{0, 0, 0} Real Real Real _ (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J) (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaAct delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J)) (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.qTilde delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J)) (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.d delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J) (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.exponent delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J) (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalSectionNinePostHeightActiveHeadTarget.{0} (Erdos390.WholePaper.primesUpTo W) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M) _ _ B c depth R certificate deltaStar) (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.targetInputs delta eta M (Erdos390.WholePaper.primesUpTo W) B c depth K0 R certificate Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalIntervals deltaStar hdelta J)) (@HDiv.hDiv.{0, 0, 0} Real Real Real _ Erdos390.WholePaper.bankPaperCanonicalSectionNinePostHeightPhysicalEta (@OfNat.ofNat.{0} Real (nat_lit 2) _))))))))))))))))))
                                (@Filter.atTop.{0} Nat _) := by sorry
Source
https://github.com/ShouqiaoW/erdos/blob/61325b10bbdc29f4fb5e0618b414b9f2189333ad/390/lean/Erdos390/WholePaper/BankPaperCanonicalSectionNinePostHeightSourceFirstPreselectedPostLedgerConnector.lean#L35-L472

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