{"slug":"hunter-redundancy-pythagorean-proof","identifier":"hunter-redundancy-pythagorean-proof","title":"The Redundancy of Proof for the Pythagorean Theorem by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"c7fd9ee9e8abcd219b079284cb28403ac24cee528e0954dcac541b4a97ff763f","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T16:41:43.461Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:42:27.911Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, P <-> Q, Q <-> R} |= (P & Q) & R","sourceOffset":1337,"scope":"Exact source sequent under finite two-valued propositional semantics. 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Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.","variables":["a","b","c","d"],"premises":["a","a <-> b","b <-> c","c <-> d"],"conclusion":"(d -> c) -> (b -> a)","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((!((!v3) || v2)) || ((!v1) || v0))) = 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"},{"id":"source_identity_rule","sourceStatement":"Law of Identity","sourceOffset":2848,"scope":"The explicitly named Identity rule, over every type and element. 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