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Includes: - n-dimensional generic modules (BraidStateN, MatrixN, SpectralN, ClassifyN, FisherRigidityN, FixedPointBridge) - Feasible Set Theorem proofs + QUBO relaxation - Anti-smuggle protocol (seedlock, mutation testing, cross_validate, qc_flag, symbol verification) - Q16_16 bridge with quad matrix representation - Infrastructure scripts (entry gate, determinism checks) - Test suites for Lean modules, scripts, and QUBO pipeline - FixedPoint migration and HachimojiN8 updates - Documentation updates (ARCHITECTURE, GLOSSARY, DOCUMENT_SETS) - QUBO conflict sweep and FSR validation - GitHub Actions anti-smuggle workflow Build: 3307 jobs, 0 errors
53 lines
2.1 KiB
Text
53 lines
2.1 KiB
Text
/-
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HachimojiN7Bridge.lean — Cross-check: HachimojiBase.card_eq ↔ n7_necessity
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These two facts exist in separate modules:
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- HachimojiBase.card_eq : Fintype.card HachimojiBase = 7 (CoreFormalism)
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- HachimojiN7.n7_necessity : ∀ N, allOk N ↔ N = 7 (SilverSight)
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They agree — but without this file they don't formally know about each other.
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A session that modifies either (changes a predicate in n7_necessity, or adds a
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constructor to HachimojiBase) breaks THIS theorem, providing a single point of
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detection rather than two silently-diverging correct proofs.
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Anti-drift role: this is the Ring 1 wire in the outward dependency spiral.
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If it fails, stop and diagnose before touching anything downstream.
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-/
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import CoreFormalism.HachimojiManifoldAxiom
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import SilverSight.HachimojiN7
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open SilverSight.HachimojiN7
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namespace SilverSight.HachimojiN7Bridge
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-- ============================================================
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-- §1 THE LINKING THEOREM
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-- ============================================================
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/-- The Hachimoji type's cardinality satisfies n7_necessity.
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Proof: card_eq gives 7; n7_necessity gives allOk 7 = true.
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If HachimojiBase gains or loses a constructor, card_eq changes,
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allOk (new count) = false, and this theorem breaks. -/
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theorem hachimoji_card_matches_necessity :
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Fintype.card HachimojiBase = 7 ∧
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allOk (Fintype.card HachimojiBase) = true :=
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⟨HachimojiBase.card_eq, by rw [HachimojiBase.card_eq]; exact n7_satisfies⟩
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/-- Equivalently: the cardinality is the unique value satisfying all three constraints.
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This is the statement that the type IS the alphabet justified by n7_necessity. -/
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theorem hachimoji_card_is_unique_valid :
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∀ N : ℕ, allOk N = true ↔ N = Fintype.card HachimojiBase := by
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intro N
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rw [HachimojiBase.card_eq]
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exact n7_necessity N
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-- ============================================================
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-- §2 WITNESS
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-- ============================================================
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-- Belt-and-suspenders: both proofs evaluate to the same nat
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#eval Fintype.card HachimojiBase -- expect: 7
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#eval allOk 7 -- expect: true
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end SilverSight.HachimojiN7Bridge
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