{"slug":"hunter-proof-logical-coherence","identifier":"hunter-proof-logical-coherence","title":"Proof of Logical Coherence by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"2335bae3ea42899450ea70917c423aae2289d0f328e6bd5bed418967cf010f81","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T18:23:05.961Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:41:06.847Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{1, 2, 3, 4} |= (1 & 2) <-> (3 & 4)","sourceOffset":60,"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":["1","2","3","4"],"premises":["1","2","3","4"],"conclusion":"(1 & 2) <-> (3 & 4)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && v1) && v2) && 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":"source_identity_rule","sourceStatement":"A is A","sourceOffset":110,"scope":"The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.","status":"candidate","variables":[],"premises":[],"conclusion":"∀ (α : Type) (a : α), a = a","leanStatement":"theorem source_identity_rule (α : Type) (a : α) : a = a := rfl\n#print axioms source_identity_rule\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.source_identity_rule"}],"files":{"source.json":{"sha256":"4671c4587db1362b83a4e9df5b19db8de367c049df8d348f72eb5276fbae8ea6","bytes":4455},"Proof.lean":{"sha256":"36f6cf32f78807320e1df571c79d1d44d7226d5d3b6683d97c2a8a62818f9a95","bytes":606},"lean-check.txt":{"sha256":"c984470b7e70c1b533a43d5274fb204be8ef76a0e5c9aaacde641a6b4b8b74fd","bytes":183}},"boundary":"Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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