Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 1 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: 2026-10-03T01:34:34.857Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:37.153Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 18379759c420cca4b22d7d835c526f52ab2fd76f28ff2d9ffef3d8af07416d17
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
{P, Q, R, S} |= (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.
Things Happen by Maclain Hunter:
Premises:
P: Assume for a moment that “nothing is happening” and that nothing could “happen”. That leads to logical contradiction since nothing is not a positively extant concept that can occur or “be” (happening).
Q: The concept of “nothing” cannot happen, and all must happen so that there is not a thing that is “doing nothing”, and so that there is not a case where “nothing is happening”.
R: What happens does so within and in some kind of (coherent or incoherent) logical relationship to the Logic and Logical Structure of the Cosmos - called the Logos in theology and philosophy, and referring to the Logic inherent in the Natural Order and/or the First Cause of Logic and Existence.
S: Assume for a moment that something is happening that is not logically coherent or logically derived. That would be a logical contradiction and/or incoherent.
Formal Argument:
{P, Q, R, S} |= (P <-> Q) <-> (R & S)
Conclusion:
Things happen because nothing must be “not happening” and all that can happen must happen to prevent “nothing” from somehow “happening” (and being what exists or “is”).
Truth Table:
valid
↓ ↓ ↓ ↓ ↓
PQRS⎪P Q R S╞(P↔Q)↔(R&S)
―――――――――――――――――――――――――
TTTT⎪T T T T TTT T TTT
TTTF⎪T T T F TTT F TFF
TTFT⎪T T F T TTT F FFT
TTFF⎪T T F F TTT F FFF
TFTT⎪T F T T TFF F TTT
TFTF⎪T F T F TFF T TFF
TFFT⎪T F F T TFF T FFT
TFFF⎪T F F F TFF T FFF
FTTT⎪F T T T FFT F TTT
FTTF⎪F T T F FFT T TFF
FTFT⎪F T F T FFT T FFT
FTFF⎪F T F F FFT T FFF
FFTT⎪F F T T FTF T TTT
FFTF⎪F F T F FTF F TFF
FFFT⎪F F F T FTF F FFT
FFFF⎪F F F F FTF F FFF
Q.E.D.