Lean verification registry · Authored proofs · The Logos Architecture

Logic with YHVH by Maclain Hunter

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: 2026-10-02T18:54:46.491Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:27.422Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 6b3e99315a9fbbe914b006db94c8ee39f78b35fb0e430d527a7c24fb2af14bc9

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
exitCode=0
'HunterAuthored.inference_1' does not depend on any axioms

Source-bound formal statements

inference_1 · Kernel-verified · axiom-free

{Y, H, V, G} |= ((Y -> H) & (V -> H)) <-> G

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.

Exact authored source in the timestamped release

Logic with YHVH by Maclain Hunter

Let: 

Y = Good, Truth, and Logic (Coherence)
H = the preceding is a concept rooted in Logic (Y) 
V = evil, untruth, and illogic (incoherence)
G = God (the Origin of Reality; Reality; Moral Authority; Absolute Truth; Universal Order)

Logical Proof:

{Y, H, V, G} |= ((Y -> H) & (V -> H)) <-> G

Truth Table Analysis: 

YHVR⎪Y H V G╞((Y→H)&(V→H))↔G

TTTT⎪T T T T   TTT T TTT  TT
TTTF⎪T T T F   TTT T TTT  FF
TTFT⎪T T F T   TTT T FTT  TT
TTFF⎪T T F F   TTT T FTT  FF
TFTT⎪T F T T   TFF F TFF  FT
TFTF⎪T F T F   TFF F TFF  TF
TFFT⎪T F F T   TFF F FTF  FT
TFFF⎪T F F F   TFF F FTF  TF
FTTT⎪F T T T   FTT T TTT  TT
FTTF⎪F T T F   FTT T TTT  FF
FTFT⎪F T F T   FTT T FTT  TT
FTFF⎪F T F F   FTT T FTT  FF
FFTT⎪F F T T   FTF F TFF  FT
FFTF⎪F F T F   FTF F TFF  TF
FFFT⎪F F F T   FTF T FTF  TT
FFFF⎪F F F F   FTF T FTF  FF

Q.E.D.