{"slug":"hunter-coherent-theism-exclusions","identifier":"hunter-coherent-theism-exclusions","title":"Coherent Theism and Exclusions","author":"Maclain Hunter","sourceSha256":"3a18e1134c18fa1ef920188f7dce13266be49fc5b70ecb9c8dac04f3159c3b39","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:08:45.171Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:37:52.413Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, Q, R, P -> Q, P -> ~R} |= (P & Q) & ~(P & ~Q) -> ~R","sourceOffset":217,"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","P -> ~R"],"conclusion":"(P & Q) & ~(P & ~Q) -> ~R","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((((v0 && v1) && v2) && ((!v0) || v1)) && ((!v0) || (!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":"4c0bb18fdcc41a8af8f7f79d178c8dfaa0402dba29dc20116980595f89e42bee","bytes":862},"Proof.lean":{"sha256":"3266913502b2e3316088d7cea175fb909c5d38356e9af19d60074ee7c0bf81e4","bytes":528},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"boundary":"Lean establishes the listed formal statements and dependencies. 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