{"slug":"hunter-atheism-defined-source","identifier":"hunter-atheism-defined-source","title":"Atheism and the Defined Logical Source","author":"Maclain Hunter","sourceSha256":"a52248eb59ad236f3fc13e1d1ab2f87c0c60c3a655bcb09bd7e194be2fafa810","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:08:38.461Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:37:27.289Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, Q, R <-> (P & Q)} |= (P & Q) -> R","sourceOffset":237,"scope":"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.","variables":["P","Q","R"],"premises":["P","Q","R <-> (P & Q)"],"conclusion":"(P & Q) -> R","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((v0 && v1) && (v2 == (v0 && v1)))) || ((!(v0 && v1)) || v2)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"}],"files":{"source.json":{"sha256":"1c201d55d1b8a349d5963b6e44876052a47dfea8adcb56b75fa7ab65a25da169","bytes":859},"Proof.lean":{"sha256":"1cb7a42add5a5dd8dbc935c4428f5a4f99b1289e186cb081289b0c8bb05254dd","bytes":486},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"boundary":"Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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