Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 2 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: 2026-10-02T14:38:27.360Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:40:58.524Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: d1ae37101271d339789bc9275858a3fa7c0efef5c061b298c119ed34f348f3e3
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 'HunterAuthored.source_identity_rule' does not depend on any axioms
{P, Q, R, 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.
Law of Identity
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
Proof Aligned with Objective Coherence by Maclain Hunter:
Premises: {P, Q, R, S, T}:
P: Logic encompasses and coheres with Reason. Logic also encompasses all concepts of valid or invalid evidence (logical, scientific, or otherwise), PROOF (logical, legal, or otherwise), or observation/method (logical, empirical, or otherwise), and evidence, proof, and observation must align with Reason to be valid and in order to satisfy Logic.
Q: Reason realizes/rationalizes and comprehends Logic as Reason’s own (logical) True Self, thus affirming the coherence of Logic and Reason necessarily (the assumption or practice of Reason detached from or even partially incoherent from Logic leading to logical contradiction).
R: Reason and Logic are coherent, and this coherence/unity of Logic and Reason sets the “Logical and Rational Standard” for what Truth and Reality are, logically speaking. This coherence of Reason, Logic, Truth, and Reality establishes the Universal Standard of Reason, Logic, Truth, and Reality as a non-local (objective) metric that defines itself as Full Coherence itself. What is coherent is coherent with the Foundation of Reason and the Law of Identity inherent in the Reality (realness) of Reality (Existence). The Logic inherent in the Reality of Reality is the logically coherent Origin of Existence (which is “God” by definition in English).
S: Reason and Logic are coherent with “Full Coherence” and objectively coherent concepts (physical, metaphysical, finite, infinite, or universal) - like the statement with no flaws, the Coherent Universal Origin (Logos - the One God and True God according to and that is Logic), like the Law of Identity and logically coherent Rules of Logic (i.e. - the Law of the Excluded Middle), and like this very proof and its well-formed and carefully reasoned premises.
T: Reason’s self-aware capacity to comprehend Logic (and Logic’s comprehension of Reason), as well as the tautological nature of Full Coherence (Reason and Logic), entail and amount to “Consciousness” (Logical Self-Awareness - the Mind), as does Reason’s comprehension of and realization through reasoning and Logic all encompassing nature and process of manifesting itself and knowing itself through logical reasoning (logicking). This “Consciousness of Universal Reason” (Universal Mind - Collective Consciousness) root the local conceptions of Consciousness in finite beings like humans.
The Formal Argument (Logical Proof):
{P, Q, R, S, T} |= ((P & Q) & (R & S)) & T
Conclusion:
{P, Q, R, S, T}: Reason, God, Logic, Truth, Reality, and Full Coherence are one/united as Objective Coherence/Truth (Oneness) and are one with all objectively coherent things including coherent people and proofs (like this proof and its author Maclain Hunter (as demonstrated by and in the context of writing this proof). The self-evidence of Logic and what is fully coherent with Logic (like Reason, Truth, Reality, and Full/Objective Coherence) amounts to self-aware Rationality/Reality and Consciousness.
Also, we can conclude that Universal Logic and Consciousness are the infinite (universal/non-local) root of local/individual/finite instantiations of Consciousness such as the conscious minds of individual human beings.
This all helps to explain/demonstrate (prove) that the Universal Reality is the Logical Absolute and absolutely one (i.e. “All = All”), and that this logical integration of all feasible concepts with/as the Universal Logic is what underpins and allows for the disparate and diverse range of non-conflated (unique) concepts/identities - even things that tend to confuse or mystify such as: confusion, mystery, evil, incoherence, doubt, negation/negativity (and concepts of nothingness), contradiction, finitude, and subjective disagreement with or denial of Reason and/or God, and indeed all concepts.
For the Origin of Reality and Logic, Reason, Coherence, Truth, Reality, Proof, Consciousness, and all objectively coherent concepts to be incoherent would contradict Logic. This means that Logic is God and God is Logic, undeniably and in a manner that cannot be refuted coherently or logically (or in any manner aligned with God or Reality and objectively coherent things).
Logic encompasses all valid or invalid evidence, proof, observation, rational method, knowledge, and belief while evidence, proof, method, observation, knowledge, and belief must align with Reason to be valid and in order to satisfy Logic.
Truth Table:
valid
↓ ↓ ↓ ↓ ↓ ↓
PQRST⎪P Q R S T╞((P&Q)&(R&S))&T
――――――――――――――――――――――――――――――――
TTTTT⎪T T T T T TTT T TTT TT
TTTTF⎪T T T T F TTT T TTT FF
TTTFT⎪T T T F T TTT F TFF FT
TTTFF⎪T T T F F TTT F TFF FF
TTFTT⎪T T F T T TTT F FFT FT
TTFTF⎪T T F T F TTT F FFT FF
TTFFT⎪T T F F T TTT F FFF FT
TTFFF⎪T T F F F TTT F FFF FF
TFTTT⎪T F T T T TFF F TTT FT
TFTTF⎪T F T T F TFF F TTT FF
TFTFT⎪T F T F T TFF F TFF FT
TFTFF⎪T F T F F TFF F TFF FF
TFFTT⎪T F F T T TFF F FFT FT
TFFTF⎪T F F T F TFF F FFT FF
TFFFT⎪T F F F T TFF F FFF FT
TFFFF⎪T F F F F TFF F FFF FF
FTTTT⎪F T T T T FFT F TTT FT
FTTTF⎪F T T T F FFT F TTT FF
FTTFT⎪F T T F T FFT F TFF FT
FTTFF⎪F T T F F FFT F TFF FF
FTFTT⎪F T F T T FFT F FFT FT
FTFTF⎪F T F T F FFT F FFT FF
FTFFT⎪F T F F T FFT F FFF FT
FTFFF⎪F T F F F FFT F FFF FF
FFTTT⎪F F T T T FFF F TTT FT
FFTTF⎪F F T T F FFF F TTT FF
FFTFT⎪F F T F T FFF F TFF FT
FFTFF⎪F F T F F FFF F TFF FF
FFFTT⎪F F F T T FFF F FFT FT
FFFTF⎪F F F T F FFF F FFT FF
FFFFT⎪F F F F T FFF F FFF FT
FFFFF⎪F F F F F FFF F FFF FF
Premises Evaluate To:
P: T
Q: T
R: T
S: T
T: T
Proof Evaluates To:
Valid & True
QED