Lean verification registry · Authored proofs · The Logos Architecture

Idealism and Grounded Duality

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: 2026-10-02T23:08:47.808Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:53.664Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: f352aee2314f8e96c92a599555e09f202808f2a361bb169f6c4ea839fd41c7ab

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
exitCode=0
'HunterAuthored.inference_1' does not depend on any axioms

Source-bound formal statements

inference_1 · Kernel-verified · axiom-free

{P, Q} |= 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.

Exact authored source in the timestamped release

P: Idealism is coherent in positing that human ideas rely on the human mind, insofar as it also acknowledges Universal Reason and the form of knowledge as superseding and also necessary.

Q: Dualism is incoherent without coherent grounding that resolves duality.

{P, Q} |= P & Q