IndisputableMonolith.Verification.MassLawCert

   1import Mathlib
   2import IndisputableMonolith.Constants
   3import IndisputableMonolith.Masses.MassLaw
   4
   5namespace IndisputableMonolith
   6namespace Verification
   7namespace MassLaw
   8
   9open Constants
  10open Masses.MassLaw
  11
  12/-- Certificate for the Master Mass Law derivation. -/
  13structure MassLawCert where
  14  deriving Repr
  15
  16@[simp] def MassLawCert.verified (_c : MassLawCert) : Prop :=
  17  -- Mass is positive for all configurations
  18  (∀ s r z, predict_mass s r z > 0) ∧
  19  -- Mass scales by phi per rung
  20  (∀ s r z, predict_mass s (r + 1) z = phi * predict_mass s r z) ∧
  21  -- Gap correction is zero for neutral Z=0
  22  (gap_correction 0 = 0)
  23
  24@[simp] theorem MassLawCert.verified_any (c : MassLawCert) :
  25    MassLawCert.verified c := by
  26  constructor
  27  · intro s r z; exact predict_mass_pos s r z
  28  · constructor
  29    · intro s r z; exact mass_rung_scaling s r z
  30    · exact gap_zero_neutral
  31
  32end MassLaw
  33end Verification
  34end IndisputableMonolith
  35