Lean verification registry · Authored proofs · The Logos Architecture
Verified sequents with unresolved formal parts
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: 2026-10-03T01:29:54.990Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:41:34.763Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 22b720ebc9f0b9839ed7142b0bcb050d7801c6f4751fac4c687739c6168299de
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.source_identity_rule' does not depend on any axioms
A is A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Search Logically and Find Logic by Maclain Hunter
Premises:
P: The coherent and truthful goal, tautologically, in honest academics seeking the discovery of any Origin, even if it were “there is not one” (and atheism seemed by that justified and redeemed), it would be the “Coherent Truth of the Origin”
Q: The Coherent Truth of the Origin is coherent with Coherence (Oneness; Logic; Reason) and Reality as Reality (or Reality’s Foundational Coherence and the A is A form Logic of Reality: the Logos).
R: As a matter of Objective Coherence being necessarily singular (ie - two or more distinct “Objective Coherence” is a contradiction and is absurdity/divergence from Coherence), the Coherent Truth about God or Origin is integrated into Coherent Truth more broadly, and makes the True Origin and coherent notions of it be (necessarily and absolutely one/coherent with) the Coherent Truth (Objective Logic matching Objective Reality; Logos; the God of Truth), ultimately.
S: Truth and God cannot part ways, they are One and are what they are by Logic and as Logic. Non-contradiction and Logic hold. Rebuttals to Logos and Logic (per se) are inherently incoherent.
Proof:
{P, P -> Q, P -> R, P -> (Q & R), (Q & R) -> S |= P -> S
Conclusion: P -> S:
The coherent and honest search for the Truth of God (or the Origin of the Cosmos; and defined validly and in line with tradition and scripture as such) must logically and ultimately land on Coherent Truth and Logic as (and of course fully coherent with) God/Origin, and incoherence between such concepts is tautologically incoherence (and invalidating logically as such).
Truth Table Analysis:
TTTT⎪T TTT TTT TT TTT TTT TT TTT
TTTF⎪T TTT TTT TT TTT TTT FF TFF
TTFT⎪T TTT TFF TF TFF TFF TT TTT
TTFF⎪T TTT TFF TF TFF TFF TF TFF
TFTT⎪T TFF TTT TF FFT FFT TT TTT
TFTF⎪T TFF TTT TF FFT FFT TF TFF
TFFT⎪T TFF TFF TF FFF FFF TT TTT
TFFF⎪T TFF TFF TF FFF FFF TF TFF
FTTT⎪F FTT FTT FT TTT TTT TT FTT
FTTF⎪F FTT FTT FT TTT TTT FF FTF
FTFT⎪F FTT FTF FT TFF TFF TT FTT
FTFF⎪F FTT FTF FT TFF TFF TF FTF
FFTT⎪F FTF FTT FT FFT FFT TT FTT
FFTF⎪F FTF FTT FT FFT FFT TF FTF
FFFT⎪F FTF FTF FT FFF FFF TT FTT
FFFF⎪F FTF FTF FT FFF FFF TF FTF
(Valid)
QED