Lean verification registry · Authored proofs · The Logos Architecture

Logic and Its Self-Meeting Standard

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: 2026-10-02T23:44:04.309Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:11.167Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: e2b5f46a2303cd35bd2381ebf5f382f5dbd119f7c12ecc6f85578314be207f2a

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
exitCode=0
'HunterAuthored.inference_1' does not depend on any axioms

Source-bound formal statements

inference_1 · Kernel-verified · axiom-free

{P, P -> Q, Q -> R} |= P -> ~~((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.

Exact authored source in the timestamped release

P: Logic.

Q: Logos (Theos; Arche) is internally derived by Logic.

R: Logic :: True God (and Universal Principle) :: the self-meeting Standard of Reality w/ is real by its empirical/logical Standard.

{P, P -> Q, Q -> R} |= P -> ~~((P & Q) & R)

QED