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: 2026-10-02T23:08:38.461Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:27.289Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: a52248eb59ad236f3fc13e1d1ab2f87c0c60c3a655bcb09bd7e194be2fafa810
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)} |= (P & Q) -> 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: Atheism denies God, even God defined as the Origin of Reality or Logic (Logos).
Q: Denying Logic or Logic’s position (as Source) by any name is illogical.
R: Atheism is self-refuting as a denial of Logic as the Source of Reality.
{P, Q, R <-> (P & Q)} |= (P & Q) -> R