{"slug":"hunter-rule-logic-knowledge","identifier":"hunter-rule-logic-knowledge","title":"The Rule of Logic and Proof Knowledge","author":"Maclain Hunter","sourceSha256":"919ec6a81d4d9c29e8e5873ecad247c506879133137901dd0e736a23f17ec5aa","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:08:44.658Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:42:28.819Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2"],"units":[{"id":"inference_1","sourceStatement":"{A, A -> A} |= (B v ~B) & ~(C & ~C)","sourceOffset":62,"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":["A","B","C"],"premises":["A","A -> A"],"conclusion":"(B v ~B) & ~(C & ~C)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!(v0 && ((!v0) || v0))) || ((v1 || (!v1)) && (!(v2 && (!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"},{"id":"inference_2","sourceStatement":"{P, P -> Q, Q -> R, R -> P} |= (Q <-> P) & (R -> R)","sourceOffset":211,"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","P -> Q","Q -> R","R -> P"],"conclusion":"(Q <-> P) & (R -> R)","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 : Bool) :\n    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v0))) || ((v1 == v0) && ((!v2) || v2))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"}],"files":{"source.json":{"sha256":"45fea3bac5edad030ab7f29f900108e2464dea287f81a76f98572e85e6859e82","bytes":851},"Proof.lean":{"sha256":"6b868d18ec0e65c6bc1216d53adbae8af44324bf904a18ef717463a75824b911","bytes":716},"lean-check.txt":{"sha256":"9dd24ecb3d82c309e42e8e914b5df3ec490fd2259644de7d887fca9eeff5dfe5","bytes":174}},"boundary":"Lean establishes the listed formal statements and dependencies. 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