{"slug":"hunter-reason-demanding-reasoning-realization","identifier":"hunter-reason-demanding-reasoning-realization","title":"Proof of Reason Demanding Reasoning and the Realization of Emergent Properties and Reality by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"a039265504533a8ab66bfd6e3a625cbd33993c9c78990f8f28cc6b388f44f6af","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:36:08.053Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:41:09.781Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, P -> Q, Q -> R, R -> S, S -> T} |= (P & Q) & (R & S) & T","sourceOffset":1198,"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","T"],"premises":["P","P -> Q","Q -> R","R -> S","S -> T"],"conclusion":"(P & Q) & (R & S) & T","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :\n    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"},{"id":"source_identity_rule","sourceStatement":"Logic is Logic","sourceOffset":125,"scope":"The explicitly named Identity rule, over every type and element. 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