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: 2026-10-03T01:33:15.330Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:28.325Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 8607bc5ae0ce17e886b4102fcdde545ce2730a99285d286d862c5940d879466c
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
{L, R, O} |= (L & R) & O
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.
A is A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
L: Logic: Logic is defined by and as Logic, and it is fundamentally defined by this self consistency, as empty/meaningless as it may sound to the untrained ear. Logic is the “Method of Reasoning” (Knowledge) and the Proper Order of/found in Reality (and by proxy Truth).
R: The Logic inherent in Reality (True Logic - Logic) is not subjective or arbitrary, it is grounded in Reality and is a matter of Reality itself (and also Logic and all concepts that exist in Reality and as real possibilities) being based in Reality’s own logical identity (the A is A form of the consistent/eternal “Reality of Reality” (the realness of realness)) not something arbitrary or merely coherent with a contingent logics contrivances and subjective, perspective/perception/interpretation based explanation.
O: The Reality that is Reality is supremely objective, as is the Logic of Reality that underpins and emanates from the coherence of Reality being Reality. A needs to be A for all logical and real (existing and rational) concepts). Logical systems based on this Law of Identity are therefore not at all arbitrary or manmade, they arise from the deepest root of Reality - the Logos - which makes man be man and human faculties be what they are, including being capable of helping Reason manifest itself as discrete and coherent formal systems of reasoning (within the Natural Order aka “Logos” and within Nature/Reality - the output of the Logic of Reality also known as the Logos (the Logic inherent in Reality being Reality)). Reality and Logic, when coherent as one, and when truly themselves (not somehow internally inconsistent) are the Standard of Truth (and Logic or Reality) and are the irrefutable logical/real “Absolute”.
Formal Argument (Proof):
{L, R, O} |= (L & R) & O
Conclusion:
{L, R, O}: Logic and Reality are coherent when internally consistent. This coherence and consistency is what allows Reality and Logic to be inherently real and logical, which in turn provides the “First Foundation of Logic and Reality” (the Logos) - the Logical Origin of Logical Existence (True God) upon which all other contingent concepts are based, including this proof and its author (Maclain Hunter - Logos manifest in limited form and discrete realities within the all encompassing and dynamic/infinite Coherence/Reality of Logic (Logos)).