Lean verification registry · Authored proofs · The Logos Architecture
Source recorded — formalization still required
Axiom-free: not established · 0 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: 2026-10-02T22:14:07.908Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:40:10.646Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: d0d9b174b9cff89c3c1a195e81f4adce0bcf603d9db9dbb6dcfd2430423606f6
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) Not executed: no complete licensed formal sequent recovered.
{P, Q, Q -> P, R, Q -> R} |= ((P & Q) -> R) <-> ((R -> (P <-> Q))
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.
Unmatched formal parentheses
P: Logic (or Logos) as the Logical Origin of Existence (ie - God), is not refuted by calling this (or it) an “unproven metaphysical claim”.
Q: Metaphysical claims of a contingent nature imply the Logic of Reality from which all/they originates.
R: The Metaphysical Ground used to question and prove claims is itself inherently proven, even by being questioned itself (ie - atheism).
{P, Q, Q -> P, R, Q -> R} |= ((P & Q) -> R) <-> ((R -> (P <-> Q))
Conclusion:
God (Logic), or the Metaphysical Ground referred to by any other well defined variable or term, is not a mere metaphysical claim. Rather, even the ability to question God or whether this metaphysical claim is a mere “unsupported claim lacking proof” is proof of the Metaphysical Ground (Logic - God) supporting coherent assertions and arguments for the existence of this True God of Pure Reason.