Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 2 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: 2026-10-03T01:33:13.864Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:10.250Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: c607897a201e20900d990dacf74980d534ded13eebdf4b702fa92c2f87c99d8b
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 'HunterAuthored.source_identity_rule' does not depend on any axioms
{A, B, C, D, E} |= (((A & B) & C) & D) & E
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 Logic
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Premises:
A: Logic is Logic and the Law of Identity is the Law of Identity, which means A is A, and is a result of the fact that Universal Reality (the Natural Order) is the Universal Reality (the Natural Order) as well as a logical necessity.
B: The Laws of Reason (plural/finite) must be coherent with the coherent (unified/one) Law of Reason (Rule of Logic) in its singular/infinite form.
C: The Law of Physics and the Law of Metaphysics must both be coherent with the Law of Reason and the “Laws of Physics” (plural) must be coherent with the Rule of Logic.
D: Logically valid physical theories, scientific observation, mathematical models, legal systems, rational realities (physical or not), and logical proofs must cohere with (and by proxy confirm the existence of) the Law of Reason that is coherent with and synonymous with the Logos (the Infinite/Dynamic and Universal/Infallible Form of Reason). The logical nature of physics and the sciences, and of testing/proof as concept transcends the need for specific testing as all logically coherent and successful testing/science/proof is ultimately evidence supporting this proof.
E: Incoherence and incorrectness, in any objective sense, are logically contingent and relative to the correctness and coherence defined by Logic and that Logic is the Origin and Logical Standard (the Objective Measure) of. Assume even incoherent physical theories and empirical observations didn’t confirm the validity of the Logos (Logic) and of logically valid results, then this would lead to contradictory conclusions.
Proof:
{A, B, C, D, E} |= (((A & B) & C) & D) & E
Conclusion:
{A, B, C, D, E}: Even logically invalid physical theories or logically incoherent observations (such as hallucinations) show that Logos (Universal Reason) exists as the inherently/necessarily logical Standard of Logic by which such things are judged (known or determined) to be what they are. Valid theories in physics and discernible/coherent Laws of Physics couldn’t be discerned/known (or developed) if the were no Logical Origin (Logos/Logic), which would also contradict (the very existence of) Logic/Logos. Therefore logically valid physical systems, physical laws, physics, and (scientifically rigorous) studies/experiments of/in physics necessarily confirm, logically, physically, metaphysically, and scientifically (universally) that the Logos (Logic of Reality - Logic - the Logical Origin) exists.