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: 2026-10-02T21:46:55.877Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:05.747Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: ab0dce8cdb4dd3204cdc521b8f27df8d44fbe872028afc49377f475f92002c2a
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 & R) <-> Q
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 the Universal Principle of Reason underlying and manifest in the structure of coherent reasoning and in sound philosophy, at once God and the tool we use to know God/Truth or Reality.
Q: This proof is evidence I know how to apply Logic and that I grasp what Logic is both in definition (P) and application (ie - the whole proof and the propositional logic in the formal reasoning section below). This advanced self-referential that uses the proof’s valid structure to support the semantics of the premises is high level and shows mastery/fluency not just basic or uncomfortable use of Logic.
R: Reality cannot be incoherent with Truth and Logic without logical invalidity, falseness, and contradiction of its own “rational” (ie - real and valid) nature. Logic that is self-consistent is therefore necessarily real and aligned with ultimate or foundational Reality - which is Pure Logic (as a matter of logical necessity not arbitrary selection).
{P, Q, R} |= (P & R) <-> Q
QED