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: 2026-10-03T01:38:02.102Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:12.934Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 12affa34df528b362083a2443ecfb29b3acd7a45b74f1b053007dad426ef51b0
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} |= 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.
A is A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Exploring Meaning’s Necessary Logical Roots:
Premises:
P: Meaning is meaning, Logic tells us. Everything must mean what everything means, and because A is A for every A in at least some context, All must be All in the most universal and all encompassing context/sense that A is A, which is really what Logos is and where the Law of Identity comes from is the necessary (and self-evident and internally nesting) A is A form of Reality and it’s Logic (Nature and the Natural Order) being themselves and identical.
Q: If everything is a matter of the logical form of Reality/Nature, and all things are a matter of logical relationship (structure) then meaning is inherent in and continuously arises from Logic - the Logical Framework and Structure of Nature and the Natural Order inherent in their own identity.
Proof:
{P, P -> Q} |= P & Q
Conclusion: P is P, and P is a logically true premise that doesn’t violate any of the established Rules of Logic, and which conforms to and helps explain the Law of Identity, and Q is Q and is true, as a matter of logical deduction, therefore P -> Q is true/valid and the entailment of P & Q is a given and evident in this Reason (Logic) based/supported proof/reasoning. Logic gives this proof and all things their meaning, not by instilling meaning separate from logical form but by meaning being a matter of (often complex) logical relationships between defined or self-defined concepts (including Logic itself).