Lean verification registry · Authored proofs · The Logos Architecture
Verified sequents with unresolved formal parts
Axiom-free: true · 2 checked theorem statements.
Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.
Original source author: Maclain Hunter. Machine formalization: Replit Agent. No original wording was rewritten.
Source registered: not established (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:41:42.846Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 654f95901f1705d915a4354df1489a5498c1c8950014548c0ac177e91e874e61
Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions
Lean (version 4.7.0, commit v4.7.0, Release) exitCode=0 'HunterAuthored.valid_unit_seven_checks' does not depend on any axioms 'HunterAuthored.source_identity_rule' does not depend on any axioms
Formal statement: ∀u ∈ ValidMCBUnit: SevenCycle(u).cycleComplete = true
The seven displayed mathematical invariants for an admitted typed valid unit. Coherence/lawfulness are explicit admission evidence, not freely assigned flags. Runtime evidence that state matches the computed exponent, and execution of the host gate routine, remain separate.
A = A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Formal statement: ∀u ∈ ValidMCBUnit: SevenCycle(u).cycleComplete = true Proof: Each step follows from MCB construction invariants Steps: 1. Identity (A = A) 2. Non-Contradiction (¬(A ∧ ¬A)) 3. Excluded Middle (A ∨ ¬A) 4. Logos Alignment 5. MCB Parity 6. 4P Validation 7. Halting Proof