Canonical finite bridge data assemble source inputs and primitive gaps

Proved

Erdos390.WholePaper.BankPaperRealization.exists_bankPaperCanonicalSectionNinePostHeight_sourceInputsAndPrimitiveGapsAt_of_canonical

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

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

Fix a positive-width regular mesh, a finite set of primes $P$ , exponent $E>0$ , a source bridge with bank and guarded anchor certificate, and physical intervals contained between one and two. Let $J$ be fresh post-height bridge inputs with exponent $E$ , prime cutoff supported in $P$ , and canonical guarded sample geometry. Assume agreement of bank and bridge guards, sample endpoints inside the broad lower block, available rough depth, active mass $q_n\ge1$ , and nonnegative protected coefficient. Suppose its rounded selector is a valid source state, and for some $C_m\ge0$ , $\rho>0$ ,

q_n\le C_m n/\log n,\qquad |\mathrm{SampleAt}(c)|\ge\rho n\quad\text{for every cell }c.

Assume combined anchor/bank divisibility into the tail and selector-charge divisibility into the precharged target. Fix positive lower bounds for the source-cell, head, physical, and post-cell margins and suppose $J$ meets them. Finally require exact synchronization of its smooth mass, frozen mass, and final active mass with the prescribed scalar families, and the literal rounded-source residual inputs. Then there are a source-input package $S$ and a primitive-gap record for this same $J$ , with

S.C_{\rm mass}=C_m,\qquad S.\mathrm{density}=\rho.

The remaining source-package properties follow from the stated canonical geometry and divisibilities.

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_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.exists_bankPaperCanonicalSectionNinePostHeight_sourceInputsAndPrimitiveGapsAt_of_canonical :
∀ {delta eta : Real} (M : Erdos390.Full.RegularRelativeMesh.Mesh delta eta) {P : Finset.{0} Nat}
  (hprime :
    ∀ (p : Nat),
      @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p →
        Nat.Prime p)
  (E : Nat) (hE : @LT.lt.{0} Nat instLTNat (@OfNat.ofNat.{0} Nat (nat_lit 0) (instOfNatNat (nat_lit 0))) E)
  (Bsource :
    @Erdos390.Full.PaperBridgeFit.BridgeData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
      (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
      (@instFintypeOption.{0}
        (@Subtype.{1} Nat fun (p : Nat) =>
          @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
            (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
        (@Finset.Subtype.fintype.{0} Nat P))
      (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
        @Option.instDecidableEq.{0}
          (@Subtype.{1} Nat fun (p : Nat) =>
            @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
          (fun
              (a b :
                @Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
            @Subtype.instDecidableEq.{1} Nat
              (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
              instDecidableEqNat a b)
          a b)
      (Fin.fintype
        (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
          (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
          (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
      (instDecidableEqFin
        (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
          (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
          (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1))))))
  {c : Real} {depth K0 : Nat}
  (R :
    Erdos390.WholePaper.BankPaperRealization
      (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
        (@instFintypeOption.{0}
          (@Subtype.{1} Nat fun (p : Nat) =>
            @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
          (@Finset.Subtype.fintype.{0} Nat P))
        (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
            @Option.instDecidableEq.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (fun
                  (a b :
                    @Subtype.{1} Nat fun (p : Nat) =>
                      @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                @Subtype.instDecidableEq.{1} Nat
                  (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                  instDecidableEqNat a b)
              a b)
          (Fin.fintype
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (instDecidableEqFin
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          Bsource))
      (Erdos390.WholePaper.upperEndpoint
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource))
        (Erdos390.WholePaper.upperTailLength c
          (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
              (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
              (@instFintypeOption.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (@Finset.Subtype.fintype.{0} Nat P))
              (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
                @Option.instDecidableEq.{0}
                  (@Subtype.{1} Nat fun (p : Nat) =>
                    @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (fun
                      (a b :
                        @Subtype.{1} Nat fun (p : Nat) =>
                          @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                            (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                    @Subtype.instDecidableEq.{1} Nat
                      (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                      instDecidableEqNat a b)
                  a b)
              (Fin.fintype
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              (instDecidableEqFin
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              Bsource)))))
  (certificate :
    Erdos390.WholePaper.GuardedCentralAnchorCertificate c depth
      (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
        (@instFintypeOption.{0}
          (@Subtype.{1} Nat fun (p : Nat) =>
            @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
          (@Finset.Subtype.fintype.{0} Nat P))
        (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
            @Option.instDecidableEq.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (fun
                  (a b :
                    @Subtype.{1} Nat fun (p : Nat) =>
                      @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                @Subtype.instDecidableEq.{1} Nat
                  (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                  instDecidableEqNat a b)
              a b)
          (Fin.fintype
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (instDecidableEqFin
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          Bsource))
      (@Erdos390.WholePaper.BankPaperRealization.anchorGuardLeftCore
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource))
        (Erdos390.WholePaper.upperEndpoint
          (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
              (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
              (@instFintypeOption.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (@Finset.Subtype.fintype.{0} Nat P))
              (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
                @Option.instDecidableEq.{0}
                  (@Subtype.{1} Nat fun (p : Nat) =>
                    @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (fun
                      (a b :
                        @Subtype.{1} Nat fun (p : Nat) =>
                          @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                            (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                    @Subtype.instDecidableEq.{1} Nat
                      (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                      instDecidableEqNat a b)
                  a b)
              (Fin.fintype
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              (instDecidableEqFin
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              Bsource))
          (Erdos390.WholePaper.upperTailLength c
            (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
              (@instFintypeOption.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (@Finset.Subtype.fintype.{0} Nat P))
              (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
                (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
                (@instFintypeOption.{0}
                  (@Subtype.{1} Nat fun (p : Nat) =>
                    @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (@Finset.Subtype.fintype.{0} Nat P))
                (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
                  @Option.instDecidableEq.{0}
                    (@Subtype.{1} Nat fun (p : Nat) =>
                      @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                    (fun
                        (a b :
                          @Subtype.{1} Nat fun (p : Nat) =>
                            @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P
                              p) =>
                      @Subtype.instDecidableEq.{1} Nat
                        (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                        instDecidableEqNat a b)
                    a b)
                (Fin.fintype
                  (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                    (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                (instDecidableEqFin
                  (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                    (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                Bsource))))
        R)
      (@Erdos390.WholePaper.BankPaperRealization.anchorGuardRightCore
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource))
        (Erdos390.WholePaper.upperEndpoint
          (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
              (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
              (@instFintypeOption.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (@Finset.Subtype.fintype.{0} Nat P))
              (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
                @Option.instDecidableEq.{0}
                  (@Subtype.{1} Nat fun (p : Nat) =>
                    @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (fun
                      (a b :
                        @Subtype.{1} Nat fun (p : Nat) =>
                          @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                            (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                    @Subtype.instDecidableEq.{1} Nat
                      (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                      instDecidableEqNat a b)
                  a b)
              (Fin.fintype
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              (instDecidableEqFin
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              Bsource))
          (Erdos390.WholePaper.upperTailLength c
            (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
              (@instFintypeOption.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (@Finset.Subtype.fintype.{0} Nat P))
              (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
                (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
                (@instFintypeOption.{0}
                  (@Subtype.{1} Nat fun (p : Nat) =>
                    @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (@Finset.Subtype.fintype.{0} Nat P))
                (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
                  @Option.instDecidableEq.{0}
                    (@Subtype.{1} Nat fun (p : Nat) =>
                      @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                    (fun
                        (a b :
                          @Subtype.{1} Nat fun (p : Nat) =>
                            @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P
                              p) =>
                      @Subtype.instDecidableEq.{1} Nat
                        (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                        instDecidableEqNat a b)
                    a b)
                (Fin.fintype
                  (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                    (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                (instDecidableEqFin
                  (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                    (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                Bsource))))
        R)
      (@Erdos390.WholePaper.BankPaperRealization.centralChangedMarkers
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource))
        (Erdos390.WholePaper.upperEndpoint
          (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
              (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
              (@instFintypeOption.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (@Finset.Subtype.fintype.{0} Nat P))
              (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
                @Option.instDecidableEq.{0}
                  (@Subtype.{1} Nat fun (p : Nat) =>
                    @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (fun
                      (a b :
                        @Subtype.{1} Nat fun (p : Nat) =>
                          @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                            (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                    @Subtype.instDecidableEq.{1} Nat
                      (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                      instDecidableEqNat a b)
                  a b)
              (Fin.fintype
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              (instDecidableEqFin
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              Bsource))
          (Erdos390.WholePaper.upperTailLength c
            (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
              (@instFintypeOption.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (@Finset.Subtype.fintype.{0} Nat P))
              (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
                (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
                (@instFintypeOption.{0}
                  (@Subtype.{1} Nat fun (p : Nat) =>
                    @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (@Finset.Subtype.fintype.{0} Nat P))
                (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
                  @Option.instDecidableEq.{0}
                    (@Subtype.{1} Nat fun (p : Nat) =>
                      @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                    (fun
                        (a b :
                          @Subtype.{1} Nat fun (p : Nat) =>
                            @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P
                              p) =>
                      @Subtype.instDecidableEq.{1} Nat
                        (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                        instDecidableEqNat a b)
                    a b)
                (Fin.fintype
                  (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                    (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                (instDecidableEqFin
                  (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                    (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                Bsource))))
        R depth))
  (I : Erdos390.Full.PaperGuardCensus.PhysicalIntervals)
  (hlowerOne :
    ∀ (sign : Erdos390.Full.PaperBridgeFit.PhysicalSign),
      @LE.le.{0} Real Real.instLE (@OfNat.ofNat.{0} Real (nat_lit 1) (@One.toOfNat1.{0} Real Real.instOne))
        (I.lower sign))
  (hupperTwo :
    ∀ (sign : Erdos390.Full.PaperBridgeFit.PhysicalSign),
      @LE.le.{0} Real Real.instLE (I.upper sign)
        (@OfNat.ofNat.{0} Real (nat_lit 2)
          (@instOfNatAtLeastTwo.{0} Real (nat_lit 2) Real.instNatCast
            (@Nat.instAtLeastTwoHAddOfNat (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))
              (@Nat.instNeZeroSucc (@OfNat.ofNat.{0} Nat (nat_lit 0) (instOfNatNat (nat_lit 0))))))))
  (Cprom Cbank : Nat) (G : (n : Nat) → Erdos390.Full.PaperGuardCensus.Ledger n Cprom Cbank)
  (deltaStar mu sourceMarginFloor headMarginFloor physicalEtaFloor postMarginFloor : Real)
  (logY Lambda0 mFrozen qTilde : Nat → Real)
  (hsourceMarginFloor :
    @LT.lt.{0} Real Real.instLT (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero))
      sourceMarginFloor)
  (hheadMarginFloor :
    @LT.lt.{0} Real Real.instLT (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero))
      headMarginFloor)
  (hphysicalEtaFloor :
    @LT.lt.{0} Real Real.instLT (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero))
      physicalEtaFloor)
  (hpostMarginFloor :
    @LT.lt.{0} Real Real.instLT (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero))
      postMarginFloor)
  (hdelta :
    @LT.lt.{0} Real Real.instLT (@OfNat.ofNat.{0} Real (nat_lit 0) (@Zero.toOfNat0.{0} Real Real.instZero)) delta)
  (J :
    @Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt delta eta M P
      Bsource c depth K0 R certificate I deltaStar hdelta)
  (hexponentSync :
    @Eq.{1} Nat
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.exponent delta
        eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
      E)
  (hhead :
    @HasSubset.Subset.{0} (Finset.{0} Nat) (@Finset.instHasSubset.{0} Nat)
      (Erdos390.WholePaper.primesUpTo
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.W.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightBridge
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))))
      P)
  (hsep :
    @LT.lt.{0} Nat instLTNat
      (Erdos390.Full.ArithmeticModel.physicalBound (I.upper Erdos390.Full.PaperBridgeFit.PhysicalSign.minus)
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightBridge
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))))
      (Erdos390.Full.ArithmeticModel.physicalBound (I.lower Erdos390.Full.PaperBridgeFit.PhysicalSign.plus)
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
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              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
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                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
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                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
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                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightBridge
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  (hremaining :
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                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
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                        (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
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                (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightBridge
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                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightBridge
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            Cprom Cbank
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                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (@Finset.Subtype.fintype.{0} Nat P))
                (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
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                      @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
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                        (a b :
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                              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P
                              p) =>
                      @Subtype.instDecidableEq.{1} Nat
                        (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
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                    a b)
                (Fin.fintype
                  (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                    (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                (instDecidableEqFin
                  (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                    (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                    (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
                Bsource))))
        R depth)
      (G
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              (@Finset.Subtype.fintype.{0} Nat P))
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                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
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                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
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                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
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                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
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      R certificate deltaStar)
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              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource c K0
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaAct
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
          (@HAdd.hAdd.{0, 0, 0} Real Real Real (@instHAdd.{0} Real Real.instAdd)
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaAct
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.qTilde delta
            eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.d delta eta M P
          Bsource c depth K0 R certificate I deltaStar hdelta J)
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.exponent delta
          eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
        (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalSectionNinePostHeightActiveHeadTarget.{0} P
          (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
          (Fin.fintype
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (instDecidableEqFin
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          Bsource c depth R certificate deltaStar)
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.targetInputs
          delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)))
  (hphysicalEta :
    @LE.le.{0} Real Real.instLE physicalEtaFloor
      (@Erdos390.WholePaper.BankPaperCanonicalSectionNinePostHeightBaselineTargetInputs.physicalEta.{0} P
        (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
        (Fin.fintype
          (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
            (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
            (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
        (instDecidableEqFin
          (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
            (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
            (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
        Bsource I
        (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalSectionNinePostHeightRoundedQ0.{0} P
          (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
          (Fin.fintype
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (instDecidableEqFin
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat) K0
            (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1))))
          Bsource c depth R certificate deltaStar
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt
            delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
          (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalPostHfitBalancedAlpha.{0, 0}
            (Erdos390.Full.PaperHeadSimplex.Tag P) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource c K0
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaAct
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.qTilde delta
            eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
        (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalSectionNinePostHeightA0.{0} P
          (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
          (Fin.fintype
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (instDecidableEqFin
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat) K0
            (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1))))
          Bsource c depth R certificate
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.Tsource delta
            eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
          deltaStar
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt
            delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
          (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalPostHfitBalancedAlpha.{0, 0}
            (Erdos390.Full.PaperHeadSimplex.Tag P) (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
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                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
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                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource c K0
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaAct
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
          (@HAdd.hAdd.{0, 0, 0} Real Real Real (@instHAdd.{0} Real Real.instAdd)
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
            (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaAct
              delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.qTilde delta
            eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.d delta eta M P
          Bsource c depth K0 R certificate I deltaStar hdelta J)
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.exponent delta
          eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
        (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalSectionNinePostHeightActiveHeadTarget.{0} P
          (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
          (Fin.fintype
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (instDecidableEqFin
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
              (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          Bsource c depth R certificate deltaStar)
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.targetInputs
          delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)))
  (hpostMargin :
    @LE.le.{0} Real Real.instLE postMarginFloor
      (@Erdos390.Full.PaperGuardCensus.BarycentricTarget.cellMassMargin.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
        (@instFintypeOption.{0}
          (@Subtype.{1} Nat fun (p : Nat) =>
            @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
              (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
          (@Finset.Subtype.fintype.{0} Nat P))
        (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
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              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
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              (fun
                  (a b :
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                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
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                  (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                  instDecidableEqNat a b)
              a b)
          (Fin.fintype
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (instDecidableEqFin
            (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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              (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightBridge
            delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J))
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightTarget
          delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)))
  (hqTildeFamily :
    @Eq.{1} Real
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.qTilde delta eta
        M P Bsource c depth K0 R certificate I deltaStar hdelta J)
      (qTilde
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          (@instFintypeOption.{0}
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                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
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              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
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                (@Subtype.{1} Nat fun (p : Nat) =>
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                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource))))
  (hmFrozen :
    @Eq.{1} Real
      (mFrozen
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
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            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
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                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
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                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
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                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource)))
      (@Erdos390.WholePaper.BankPaperRealization.bankPaperCanonicalTopFrozenSmoothFrozenMass.{0} P
        (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
        (Fin.fintype
          (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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            (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
        (instDecidableEqFin
          (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
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            (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightBridge
          delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
        c depth
        (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat) K0
          (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1))))
        R certificate deltaStar
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt delta
          eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
        (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.alpha delta eta
          M P Bsource c depth K0 R certificate I deltaStar hdelta J)))
  (hfinalActiveMass :
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      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.qn delta eta M P
        Bsource c depth K0 R certificate I deltaStar hdelta J)
      (Erdos390.WholePaper.bankPaperCanonicalSmoothFinalActiveMassFamily mu logY Lambda0 mFrozen qTilde
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          (@instFintypeOption.{0}
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                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
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            (@instFintypeOption.{0}
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                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource))))
  (hsourceResidual :
    @Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalTopFrozenRoundedSourceResidualInputsAt.{0} P
      (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
      (Fin.fintype
        (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
          (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
          (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
      (instDecidableEqFin
        (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
          (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
          (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.postHeightBridge
        delta eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
      c depth
      (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat) K0
        (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1))))
      R certificate
      (@Erdos390.WholePaper.BankPaperRealization.paperFixedExceptionalFactors
        (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
          (@instFintypeOption.{0}
            (@Subtype.{1} Nat fun (p : Nat) =>
              @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
            (@Finset.Subtype.fintype.{0} Nat P))
          (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
              @Option.instDecidableEq.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (fun
                    (a b :
                      @Subtype.{1} Nat fun (p : Nat) =>
                        @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                          (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                  @Subtype.instDecidableEq.{1} Nat
                    (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                    instDecidableEqNat a b)
                a b)
            (Fin.fintype
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            (instDecidableEqFin
              (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
            Bsource))
        (Erdos390.WholePaper.upperTailLength c
          (@Erdos390.Full.PaperBridgeFit.StructuredSampleData.n.{0} (Erdos390.Full.PaperHeadSimplex.Tag P)
            (@instFintypeOption.{0}
              (@Subtype.{1} Nat fun (p : Nat) =>
                @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                  (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
              (@Finset.Subtype.fintype.{0} Nat P))
            (@Erdos390.Full.PaperBridgeFit.BridgeData.sampleData.{0, 0} (Erdos390.Full.PaperHeadSimplex.Tag P)
              (@Erdos390.WholePaper.BankPaperCanonicalExponentBand delta eta M)
              (@instFintypeOption.{0}
                (@Subtype.{1} Nat fun (p : Nat) =>
                  @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                    (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                (@Finset.Subtype.fintype.{0} Nat P))
              (fun (a b : Erdos390.Full.PaperHeadSimplex.Tag P) =>
                @Option.instDecidableEq.{0}
                  (@Subtype.{1} Nat fun (p : Nat) =>
                    @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                      (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p)
                  (fun
                      (a b :
                        @Subtype.{1} Nat fun (p : Nat) =>
                          @Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                            (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P p) =>
                    @Subtype.instDecidableEq.{1} Nat
                      (@Membership.mem.{0, 0} Nat (Finset.{0} Nat)
                        (@SetLike.instMembership.{0, 0} (Finset.{0} Nat) Nat (@Finset.instSetLike.{0} Nat)) P)
                      instDecidableEqNat a b)
                  a b)
              (Fin.fintype
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              (instDecidableEqFin
                (@HAdd.hAdd.{0, 0, 0} Nat Nat Nat (@instHAdd.{0} Nat instAddNat)
                  (@Erdos390.Full.RegularRelativeMesh.Mesh.cellCount delta eta M)
                  (@OfNat.ofNat.{0} Nat (nat_lit 1) (instOfNatNat (nat_lit 1)))))
              Bsource)))
        R deltaStar)
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.Tsource delta eta
        M P Bsource c depth K0 R certificate I deltaStar hdelta J)
      deltaStar
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.betaProt delta
        eta M P Bsource c depth K0 R certificate I deltaStar hdelta J)
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.alpha delta eta M
        P Bsource c depth K0 R certificate I deltaStar hdelta J)
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.beta delta eta M
        P Bsource c depth K0 R certificate I deltaStar hdelta J)
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightBridgeInputsAt.qTilde delta eta
        M P Bsource c depth K0 R certificate I deltaStar hdelta J)),
  @Exists.{1}
    (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightSourceInputsAt delta eta M P
      Bsource c depth K0 R certificate I deltaStar hdelta J)
    fun
      (S :
        @Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightSourceInputsAt delta eta M P
          Bsource c depth K0 R certificate I deltaStar hdelta J) =>
    @Exists.{0}
      (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightPrimitiveGapsAt delta eta M P
        Bsource c depth K0 R certificate I E deltaStar mu sourceMarginFloor headMarginFloor physicalEtaFloor
        postMarginFloor logY Lambda0 mFrozen qTilde hdelta J S)
      fun
        (_Hgap :
          @Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightPrimitiveGapsAt delta eta M P
            Bsource c depth K0 R certificate I E deltaStar mu sourceMarginFloor headMarginFloor physicalEtaFloor
            postMarginFloor logY Lambda0 mFrozen qTilde hdelta J S) =>
      And
        (@Eq.{1} Real
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightSourceInputsAt.Cmass delta
            eta M P Bsource c depth K0 R certificate I deltaStar hdelta J S)
          Cmass)
        (@Eq.{1} Real
          (@Erdos390.WholePaper.BankPaperRealization.BankPaperCanonicalSectionNinePostHeightSourceInputsAt.density delta
            eta M P Bsource c depth K0 R certificate I deltaStar hdelta J S)
          density) := by sorry

Source

https://github.com/ShouqiaoW/erdos/blob/61325b10bbdc29f4fb5e0618b414b9f2189333ad/390/lean/Erdos390/WholePaper/BankPaperCanonicalSectionNinePostHeightSourceInputAssemblyConnector.lean#L58-L297

View graph