{"slug":"hunter-logos-coherent-morality","identifier":"hunter-logos-coherent-morality","title":"Logos Entails Coherent Morality by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"500b7c08a8ce46caaff764d9b2039d1805c6f430b20b36a8e6ddbd8ee4fc47ad","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T16:41:52.776Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:54.501Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2"],"units":[{"id":"inference_1","sourceStatement":"{P, P <-> Q, Q <-> R, R <-> ~S, ~S} |= (P & Q) & (R & ~S)","sourceOffset":843,"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","S"],"premises":["P","P <-> Q","Q <-> R","R <-> ~S","~S"],"conclusion":"(P & Q) & (R & ~S)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 : Bool) :\n    ((!((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == (!v3))) && (!v3))) || ((v0 && v1) && (v2 && (!v3)))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"},{"id":"inference_2","sourceStatement":"{~P, ~P <-> ~Q, ~Q <-> ~R, ~R <-> S, S} |= ~(P & Q) & (~R & S)","sourceOffset":2189,"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","S"],"premises":["~P","~P <-> ~Q","~Q <-> ~R","~R <-> S","S"],"conclusion":"~(P & Q) & (~R & S)","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 v3 : Bool) :\n    ((!(((((!v0) && ((!v0) == (!v1))) && ((!v1) == (!v2))) && ((!v2) == v3)) && v3)) || ((!(v0 && v1)) && ((!v2) && v3))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide\n#print axioms inference_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"}],"files":{"source.json":{"sha256":"25eb822f289127fcf27779dcb4c7a08b10083d266ffe7db2ee99f8b096d5bf0e","bytes":4565},"Proof.lean":{"sha256":"aa5247e467beb9255b08de7156ebb30c0bb10d9d415d01bf763079c4eaab5da4","bytes":817},"lean-check.txt":{"sha256":"9dd24ecb3d82c309e42e8e914b5df3ec490fd2259644de7d887fca9eeff5dfe5","bytes":174}},"boundary":"Lean establishes the listed formal statements and dependencies. 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