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: 2026-10-02T21:22:36.304Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:15.896Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 784b4f2773192c764f0340085eeae9162ed8199a13fae19ac825e8efbfcb3406
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, Q, R} |= ((P <-> Q) <-> (Q <-> R)) <-> (R <-> P)
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.
The Logical and Metaphysical Implications of Giving and Hearing Explanations by Maclain Hunter
Premises:
P: One must be connected to Logical Cause (Logos) to know of and teach of Logos without logical contradiction and logical jumps (across some logical disconnect).
Q: One must be connected to Logical Cause (Logos) to learn of and be taught about Logic, and the Universal Logos that logically consistent Logic is fully coherent with - not without logical contradiction and logical jumps (across some logical disconnect) arising.
R: Assume the sort of “Universal Logic and Logical Interconnection” or Logos that P and Q, like Reality and Logic, rely on is not what it is and is not valid. This leads to absurdity and the negation of Logic itself, on top of plainly violating the Law(s) of Identity, Non-Contradiction, and the Excluded Middle.
Formal Reasoning:
{P, Q, R} |= ((P <-> Q) <-> (Q <-> R)) <-> (R <-> P)
Conclusion: {P, Q, R}:
I am explaining Logic and you are reading my explanation of Logic which is in itself a logical interconnection between us and Logic. It is not possible for me to explain Logic if I am not the Logos (and the Logos manifest dynamically across contexts) and it is not possible for you to be reading this if you are not the same (Logos).
Further Elaboration:
If I can tell you I am God it means I am God, and the same goes for those coherent enough to do the same and walk the same line of a coherent claim to Coherence (or Reason) itself without significant or meaningful error. It is not an exclusive claim, nor am I implying that just because I am certain about what and who I am (and have this ability to logically demonstrate it).
Even if I make a mistake it can be explained by my manifestation as a human, never truly disconnected from Logos, and the limitations necessarily present in such a limited condition. It actually confirms, if I make a mistake, not that I’m “not God” but that I am God in the exact human condition I am being honest about (being in).
Even dishonesty and incoherence are manifestations of ignorance and limitations imposed upon Perfect Logic (Logos) by Perfect Logic (and the need for limitation to be limitation and A to be A for even evil and illogic). It is illogic that would make only itself be itself and not its opposite be its opposite (with consistency and fairness).
Truth Table Analysis:
PQR⎪P Q R╞((P↔Q)↔(Q↔R))↔(R↔P)
TTT⎪T T T TTT T TTT T TTT
TTF⎪T T F TTT F TFF T FFT
TFT⎪T F T TFF T FFT T TTT
TFF⎪T F F TFF F FTF T FFT
FTT⎪F T T FFT F TTT T TFF
FTF⎪F T F FFT T TFF T FTF
FFT⎪F F T FTF F FFT T TFF
FFF⎪F F F FTF T FTF T FTF
(Valid)
Q.E.D.