Lean verification registry · Authored proofs · The Logos Architecture
Source recorded — formalization still required
Axiom-free: not established · 0 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: 2026-10-03T01:37:15.233Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:17.749Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: bba9f55751e5d6e38fc9ff80c4f8ceb72d101927f0328ffb5919e836f2ca8816
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) Not executed: no complete licensed formal sequent recovered.
{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.
The written sequent alone has a countermodel. No authored wording or unstated premise was changed.
Countermodel to the isolated written sequent: {"P":false,"Q":false}
P: Logic is the True God (Logical Origin) that any true philosophy or religion must acknowledge as God to be truly logical, and is the method of reasoning and standard by which things, including notions of God and religion, are determined to be true or false.
Q: Premise P must align with Logic to be internally and logically consistent and if it did not align with itself and Logic it would be internally and logically inconsistent and contradictory to both itself and Logic.
Proof:
{P <-> Q} |= (P & Q)
Conclusion:
P & Q: Logic must be the Ground of Logicality (the Origin and Standard of Rationality - God) even and especially when it comes to reasoning about things such as God, Logic, and philosophy or religion. In any case it contradicts Logic for Logic to be seen as NOT “the Logical Standard and Origin of Logicality”.