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: 2026-10-03T01:29:37.065Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:36.394Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 9853ae9823117e3fd8af1a156d0495ada7f9dd3c7a3df5943bc7d78145054279
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, (P -> Q) -> R} |= 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.
The written sequent alone has a countermodel. No authored wording or unstated premise was changed.
Countermodel to the isolated written sequent: {"P":true,"Q":false,"R":false}
P: Logic contradicting Logic ≠ Logic.
Q: Illogic ≠ Logic’s Ground (Logos; the Source of Logics).
R: Atheism (denial of x as God) fails against Logos as Theos. Logos is the necessary Origin of Existence, and of Logic itself.
{P, (P -> Q) -> R} |= P & (Q & R)
QED