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: 2026-10-02T18:54:45.290Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:52.801Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: a1a16f737841150113369739daa40509edd776104847e647619776be448b1a77
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, Q, R} |= (Q <-> P) -> R
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.
I’m Right Either Way by Maclain Hunter
Premises:
P: God is God, it’s not a matter of “God or not God” so it’s about what God is when God is God, and God cannot be nothing and the Origin of Reality at once. If God is the Reason that Existence exists then everything is everything because God is God while nothing is nothing as “not God is not God” - with A is A (the Law of Identity) holding firm and being valid in any case.
Q: If God is nothing then God is still God (nothing) but is not the Origin of the Universe, as nothing cannot be nothing and something (ie - the Origin of Reality) at once without contradiction and “being something” rather than nothing. If God is nothing then everything is everything because God is God and not God is not God (so everything is everything) - still.
R: If we have, as traditionally is the case, defined God as the Origin of Reality and “pinned that down” through definition, then God cannot be nothing anymore and God must be the Origin of Reality that is logically coherent (to avoid incoherence) - which happens to be Logic when the notion of the Origin of Reality aka God is 100% logically coherent.
Logical Argument:
{P, Q, R} |= (Q <-> P) -> R
Conclusion: {P, Q, R}:
God is God and not God is not God and this is why everything is everything and nothing is nothing whether we define God as the Origin of Reality or “nothing”. The definition of terms doesn’t change the nature of the “Logical Structure of Reality and Logic” (God - Logic - the Valid Origin).
Truth Table Analysis:
PQR⎪P Q R╞(Q↔P)→R
TTT⎪T T T TTT TT
TTF⎪T T F TTT FF
TFT⎪T F T FFT TT
TFF⎪T F F FFT TF
FTT⎪F T T TFF TT
FTF⎪F T F TFF TF
FFT⎪F F T FTF TT
FFF⎪F F F FTF FF
Q.E.D.