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: 2026-10-02T16:41:35.181Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:45.794Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 70e0a0e91d7606b76bbbdeabd1475ace938ec653466dc1dea454735c439b0550
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 <-> R, R <-> S, S <-> T} |= ((P & Q) & (R & S)) & T
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.
How I Know God by Maclain Hunter
Premises:
P: It is possible to ask the question of how we know which God is real.
Q: The answer to the question in P should cohere with Logic.
R: A coherent answer to P that satisfies Q is that Logic is the True God - the Real Origin - the Coherent Foundation of Reality, logically equivalent to Full Coherence itself. So the True God is able to explain itself through Logic and its own logical structure (displayed observably as the Order in Reality that science often calls “fine-tuning”).
S: The Coherence of Logic, as described in premise R, is also how we know God is ONE, because that’s what Coherence leads to and is - Unity/Integration.
T: Assume the negation of the premise that the Origin of the Universe (called God) is Logic. This leads to logical contradiction. This shows us that Logic must be the Origin - the “One True God” (of Pure Reason and Coherent Logic). This God is known as the Logos (Universal Logic) in Greek Philosophy, Classical Logic/Theism, and Abrahamic Theology.
{P, P <-> Q, Q <-> R, R <-> S, S <-> T} |= ((P & Q) & (R & S)) & T
Conclusion: {P, Q, R, S, T}:
Logic is the way to know anything, especially why Logic has to be God, and coherent/one. It is not a matter of religious belief, logically speaking, though many religions agree with that notion (of Order as God), but of the need for self-consistent Reality and Reality (and First Cause) coherent Logic.
valid
↓ ↓ ↓ ↓ ↓ ↓
PQRST⎪P P↔Q Q↔R R↔S S↔T╞((P&Q)&(R&S))&T
――――――――――――――――――――――――――――――――――――――――
TTTTT⎪T TTT TTT TTT TTT TTT T TTT TT
TTTTF⎪T TTT TTT TTT TFF TTT T TTT FF
TTTFT⎪T TTT TTT TFF FFT TTT F TFF FT
TTTFF⎪T TTT TTT TFF FTF TTT F TFF FF
TTFTT⎪T TTT TFF FFT TTT TTT F FFT FT
TTFTF⎪T TTT TFF FFT TFF TTT F FFT FF
TTFFT⎪T TTT TFF FTF FFT TTT F FFF FT
TTFFF⎪T TTT TFF FTF FTF TTT F FFF FF
TFTTT⎪T TFF FFT TTT TTT TFF F TTT FT
TFTTF⎪T TFF FFT TTT TFF TFF F TTT FF
TFTFT⎪T TFF FFT TFF FFT TFF F TFF FT
TFTFF⎪T TFF FFT TFF FTF TFF F TFF FF
TFFTT⎪T TFF FTF FFT TTT TFF F FFT FT
TFFTF⎪T TFF FTF FFT TFF TFF F FFT FF
TFFFT⎪T TFF FTF FTF FFT TFF F FFF FT
TFFFF⎪T TFF FTF FTF FTF TFF F FFF FF
FTTTT⎪F FFT TTT TTT TTT FFT F TTT FT
FTTTF⎪F FFT TTT TTT TFF FFT F TTT FF
FTTFT⎪F FFT TTT TFF FFT FFT F TFF FT
FTTFF⎪F FFT TTT TFF FTF FFT F TFF FF
FTFTT⎪F FFT TFF FFT TTT FFT F FFT FT
FTFTF⎪F FFT TFF FFT TFF FFT F FFT FF
FTFFT⎪F FFT TFF FTF FFT FFT F FFF FT
FTFFF⎪F FFT TFF FTF FTF FFT F FFF FF
FFTTT⎪F FTF FFT TTT TTT FFF F TTT FT
FFTTF⎪F FTF FFT TTT TFF FFF F TTT FF
FFTFT⎪F FTF FFT TFF FFT FFF F TFF FT
FFTFF⎪F FTF FFT TFF FTF FFF F TFF FF
FFFTT⎪F FTF FTF FFT TTT FFF F FFT FT
FFFTF⎪F FTF FTF FFT TFF FFF F FFT FF
FFFFT⎪F FTF FTF FTF FFT FFF F FFF FT
FFFFF⎪F FTF FTF FTF FTF FFF F FFF FF
Q.E.D.