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: 2026-10-03T01:37:22.164Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:19.509Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: dfae1077e78c02aeacecafa74b5408ac906e4ca2237ed0d251d49e1617572f4e
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, P <-> Q} |= P & 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.
Logic Climbs Ladders by Maclain Hunter
P: Logic has the final say on what Logic is. Arrogance is thinking you could stop LOGIC from climbing the ladder of the Universal Hierarchy (Universal Logic - Logos), if Reality had been so illogical that Logos didn’t start #1 (God: the Supreme Being), as in the Real Cosmos.
Q: Assume ~P and that Logic had no ability to elevate itself and other concepts in the Natural Logical Order (Logos). That would be a logical contradiction that would imply Logic is not universally applicable and meaningful to apply.
{P, P <-> Q} |= P & Q
Conclusion: P & Q:
Logic would become God if Logic had not been God, and to doubt or attempt to stop that is futile and illogical and shows or would result in the lack of meaningful application of Logic.
Truth Table Analysis:
valid
↓ ↓ ↓
PQ⎪P P↔Q╞P&Q
―――――――――――――
TT⎪T TTT TTT
TF⎪T TFF TFF
FT⎪F FFT FFT
FF⎪F FTF FFF
Q.E.D.