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: 2026-10-03T01:36:36.037Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:06.375Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: eb6241524418d83c6920598e85b69476235abf71f1ba0a5943ab8be5d661678d
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.inference_2' does not depend on any axioms
{P, P <-> Q, Q -> R, R -> P} |= (P & Q) & R
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.
{P <-> S} |= P <-> S
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.
‘Reason as the Cause of the Universe (God) is Rationally Consistent’ by Maclain Hunter:
Definitions:
God: The Origin and Ruler of the Cosmos; the Moral Authority and Logical Standard of Truth and Existence.
Logic/Reason: The Logical Standard of and in Logic and/or Reason (and logicking and/or reasoning).
Premises:
P: You will NEVER find the REASON THE UNIVERSE EXISTS (God - Logos - the “Logic to it All”) without accepting Reason (Logos - God - the “Logic of the Universe”) as the logical and final answer that it is (necessarily and as a matter of Reason, Logic, & Coherent Universal Structure).
Q: Assume for a moment that P is false. This can’t be so because that would mean that the Universe is illogical and in such a case nothing would logically exist or be intelligent/intelligible, including this proof and its writer (Maclain Hunter - a manifestation of Universal Reason and Logic living with stability in the stable Reality that is consistently Reality). It would mean that there is no such thing as real Logic (grounded in Reality’s own consistency and logical coherence). It would mean that even the “Universal Logic” (Universal Explanation) is somehow NOT the “Universal Explanation” (Universal Reason and Logic - the self-explanatory “First Cause of Logic” - the “Logos”). That is necessarily not the case as it defies and would negate totally the necessary Logic/Logos (Universal Reason and what it entails, which includes all instances of and the whole of Existence).
R: P is true as Q argues, and Logic (Logos - God - Universal Reason) is irrefutable.
S: It is “illogical” to have a worldview where Logic is not the main driving force (of physical and metaphysical “logical drive”), by definition. That is logically inconsistent and an example of a view that abandons (at some point or many points) coherent Reason, Logic, and Reality.
Formal Arguments (Proofs):
1. {P, P <-> Q, Q -> R, R -> P} |= (P & Q) & R
2. {P <-> S} |= P <-> S
Conclusion: (P & Q) & (R & S):
Necessarily, to be rational, we must accept Reason as God (Logic and Logic as the Universal Origin and Source of Knowledge). All alternatives are untenable, inherently unreasonable, and logically invalid (irrational). This conclusion is not a religious belief but a matter of logical deductions and the very “Structure of Logic and Reality” (Logos), which cannot be refuted or reasonably believed to be nonexistent (or in any way “irrational”) as such a belief or argument naturally and obviously contradicts, defies, and even blatantly disrespects Logic - which will not be allowed to stand in the end.
Truth Table 1:
valid
↓ ↓ ↓ ↓ ↓
PQR⎪P P↔Q Q→R R→P╞(P&Q)&R
――――――――――――――――――――――――――
TTT⎪T TTT TTT TTT TTT TT
TTF⎪T TTT TFF FTT TTT FF
TFT⎪T TFF FTT TTT TFF FT
TFF⎪T TFF FTF FTT TFF FF
FTT⎪F FFT TTT TFF FFT FT
FTF⎪F FFT TFF FTF FFT FF
FFT⎪F FTF FTT TFF FFF FT
FFF⎪F FTF FTF FTF FFF FF
Truth Table 2:
valid
↓ ↓
PS⎪P↔S╞P↔S
―――――――――――
TT⎪TTT TTT
TF⎪TFF TFF
FT⎪FFT FFT
FF⎪FTF FTF