Lean verification registry · Authored proofs · The Logos Architecture
Verified sequents with unresolved formal parts
Axiom-free: true · 1 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: 2026-10-03T10:40:48.702Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: f8adb9da481011e9f218974a409c94ed6c905eddd1691e67b560e0befa5f9151
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.distinct_magnitude_or_commutative' does not depend on any axioms
Formal statement: ∀a,b ∈ MCBExponent, |a| ≠ |b|: OR(a,b) = OR(b,a)
Exact value selection by dominant integer magnitude with the authored first-operand tie behavior. The theorem retains the distinct-magnitude premise.
Formal statement: ∀a,b ∈ MCBExponent, |a| ≠ |b|: OR(a,b) = OR(b,a) Proof: The dominant (larger magnitude) operand determines the result