{"slug":"hunter-irrelevant-acceptance","identifier":"hunter-irrelevant-acceptance","title":"Irrelevant Acceptance","author":"Maclain Hunter","sourceSha256":"b2c28ccc525fe9f38003326e0677bf3c376d052e12dba7b1fddcc7678263472d","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:29:53.136Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:00.351Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, P -> P, (P -> P) -> ~(Q -> P), P -> R} |= (P & ~Q) & R","sourceOffset":790,"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 -> P","(P -> P) -> ~(Q -> P)","P -> R"],"conclusion":"(P & ~Q) & R","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!(((v0 && ((!v0) || v0)) && ((!((!v0) || v0)) || (!((!v1) || v0)))) && ((!v0) || v2))) || ((v0 && (!v1)) && 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":"source_identity_rule","sourceStatement":"Logic is Logic","sourceOffset":56,"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":"e427c2aa0ba1ff2f53872c13fc4b8fe0aeab4affae88f04913275e09b342d04a","bytes":2813},"Proof.lean":{"sha256":"d1dc5136bcf9ac5fd4a9389d524597d0ef7bec995e6b8d0fcb97f6a24c89cf20","bytes":620},"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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