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: 2026-10-03T01:35:02.721Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:25.642Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 1ac1940023ea8b8ff26acfa7fe75a4a678919ada2464b478f44891ed05bfb80b
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, S <-> P} |= (P & Q) & (R & S)
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: Necessarily, Logic that is Logic is Logic when not modified or incoherent.
Q: Necessarily, Logic that undergoes coherent temporal changes (when logic is used) maintains integrity through time and space.
Q: Necessarily, Logic that undergoes coherent hierarchical (its level or scope) reorganization remains Logic in that context with its coherence and integrity preserved. If integrity and coherent are not maintained then this arbitrarily modified Logic is no longer truly Logic.
R: Necessarily, Logic that undergoes coherent changes in extent (its range), and application or use and which maintains integrity through changes in extent, scope, and application remains Logic that is Logic. If the integrity and coherence are absent then the Logic is transformed into something that is not Logic (anymore).
S: Assume that P, Q, and R were false, invalid, and not logically consistent premises, then that would lead to logical contradiction where Logic and coherent changes to Logic resulted in Logic being “not Logic” which violates the Law of Non-Contradiction, confirming that the premises and Logic (the Standard of Truth) must be logically true.
Formal Proof:
{P, P -> Q, Q -> R, S <-> P} |= (P & Q) & (R & S)
Conclusion: {P, Q, R, S}:
Logic is Logic, prior to transformation/modification and throughout coherent changes.