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: 2026-10-02T22:02:14.146Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:18.012Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: c839387d29b3cd830e6e176795bea7deb1213405fdcb83929984155a1f012bbb
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.
Proof:
P: Agnosticism is a rejection of knowability (or knowability of the Ground of Knowledge which then becomes logically equivalent to a rejection of all knowledge/knowability).
Q: Claiming we can’t know is an internally inconsistent knowledge claim.
R: Agnosticism is self-refuting and this is tautological based on its own status as a knowledge claim that rejects knowability (and/or the knowability of God - the very Source of Knowledge also known as Logic or Logos).
{P, Q, R <-> (P & Q)} |= (P & Q) -> R