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: 2026-10-03T01:37:18.425Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:23.874Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 26c19afff7cc3fa75fa67bc8b5ea9796b42218a102f83e513295189651842dfb
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} |= 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 is Reason, Logos, and the Logical Foundation of Existence:
Definition of Logic:
Logic is the coherent existence of the method of reasoning and the Rational Foundation of logical concepts and knowledge seeking, which allows us to know Reality and Logic itself; The Natural Order (of the Universe), which is absolute and consistent with proper order and logical consistency, and the Method of Reasoning (encompassing all coherent “methods of reasoning and sciences” plural) coherent with it - which validates and realizes that Natural Order (processing Reality).
Premises:
P: The Fact of Reason: The very fact that we can reason, that we can perceive a coherent and ordered universe, is proof that the "Logos" a.k.a. Logic (also understood as “Universal Logic”) is one, a single, unified principle of reason.
Q: The Impossibility of the Negation: The negation of the Logos (Logic - Universal Logic) is inconceivable, a logical impossibility.
Proof:
{P <-> Q} |= P <-> Q
Conclusion: P & Q: To deny the Logos (and that this Logical Foundation and “God of Reason” is coherent with Logic) is to deny the very “Foundation of Reason and Existence”. It is to deny the Universal Principle that makes our thoughts, our perceptions, and our existence possible.