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: 2026-10-03T01:37:09.425Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:15.987Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: bccf1ae9f6fdc8246f04b3db71ae0b99e5bc6a817e56a11423ac5d40f4ed876e
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
{P, P -> Q, Q -> R, R -> S, S -> T} |= (P & Q) & (R & S) & T
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.
P: Logic is Logic.
Q: Logic is not a presupposition it is the Foundation of Logicality (God - the Logical Origin of Logical Existence - the First Cause in and of Logic).
R: The assumption of the alternative(s) to P and Q leads to logical contradiction.
S: R is the Logical Truth.
T: Logical Truth is also God (Logic) since it is fully, necessarily, and profoundly coherent (one - unified - aligned) with Logic, Reality, and First Cause.
{P, P -> Q, Q -> R, R -> S, S -> T} |= (P & Q) & (R & S) & T
Conclusion: (P & Q) & (R & S) & T:
Logic is God and Logical Truth, coherent with one another and with Objective Coherence (True Oneness) itself, as any alternative contradicts Logic and is an untenable alternative as a result of that incoherence with Logic and the Foundation of Reality (God). This means the conclusion is also logically irrefutable as any contradiction of the conclusion is a contradiction to Logic itself (and a rejection of Logic’s “rationally supreme” position).