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: 2026-10-02T23:09:18.668Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:29.755Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 93a323252d9a564b1fdfa2873f426d76ec74e61e6bc9b7c2bc2885e25c69556e
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, R, (P -> Q) & R} |= (Q & R) <-> P
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: Logic is Foundation (or Arche; or Theos).
Q: Coherence with Logic is Universal Law, and minds grasp this when truly coherent.
R: Interpretation/x is a logical concept, even if Logic or completely coherent, and is no exception to Q.
{P, Q, R, (P -> Q) & R} |= (Q & R) <-> P