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: 2026-10-02T17:32:10.052Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:40:57.582Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: e5b421e775ebbe32d140ba0d8f328f0d95cbf1d74aa4eac87bb045f2c2364ca1
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, P <-> Q, 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.
Proof Acknowledges First Cause by Maclain Hunter:
Premises:
P: □: It evidences ignorance of what evidence/proof (y) is to posit a lack of evidence/proof (y) of the Logical Origin of Logic (x).
Q: □: Proof (y) acknowledges the First Cause (x), also called God (Logos).
Formal Argument:
{P, P <-> Q, Q} |= P & Q
Ergo:
□(P & Q): □(∃(x, y))
Truth Table Analysis:
valid
PQ⎪P P↔Q Q╞P&Q
―――――――――――――――
TT⎪T TTT T TTT
TF⎪T TFF F TFF
FT⎪F FFT T FFT
FF⎪F FTF F FFF
Q.E.D.