Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
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: 2026-10-02T23:09:28.971Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:34.602Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: cb405b618d3899b22b614d9f22f704aeefb0ace939b98d60624b80521852b1f4
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.inference_1' does not depend on any axioms
{P, Q, (P & Q) -> R} |= P <-> R
Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.
P: Logical Coherence (Logic and Coherence) is required for Reality to be consistently real and for Logical Existence (the Cosmos; Reality) to exist validly.
Q: Facts by definition are truths aligned with Reality.
R: Logic -> Reality -> Fact
{P, Q, (P & Q) -> R} |= P <-> R