{"slug":"hunter-established-certainty","identifier":"hunter-established-certainty","title":"Proof of Established Certainty by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"e58e12ad28490c9367345c3f942f6f0579372963042a03fefaff15b38ce0d5ff","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T21:46:58.577Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:41:03.195Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2"],"units":[{"id":"inference_1","sourceStatement":"{PS, PS -> DT, DT & EOC, PS -> PRN} |= ((DT & EOC) -> PRN) <-> PS","sourceOffset":1235,"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":["DT","EOC","PRN","PS"],"premises":["PS","PS -> DT","DT & EOC","PS -> PRN"],"conclusion":"((DT & EOC) -> PRN) <-> PS","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 : Bool) :\n    ((!(((v3 && ((!v3) || v0)) && (v0 && v1)) && ((!v3) || v2))) || (((!(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":"inference_2","sourceStatement":"{P, P -> Q, Q & R, P -> S} |= ((P & Q) -> R) <-> S","sourceOffset":1322,"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"],"premises":["P","P -> Q","Q & R","P -> S"],"conclusion":"((P & Q) -> R) <-> S","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && ((!v0) || v1)) && (v1 && v2)) && ((!v0) || v3))) || (((!(v0 && v1)) || v2) == v3)) = 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"}],"files":{"source.json":{"sha256":"d9f072a3b064762b7ab136e8358864f2ff0fd0def0445821c8ba1d008da70b1a","bytes":2528},"Proof.lean":{"sha256":"d803cd52cbdd1b69d098e44ff4cd7827ba4b72994af03ac44881d03d33d73942","bytes":785},"lean-check.txt":{"sha256":"9dd24ecb3d82c309e42e8e914b5df3ec490fd2259644de7d887fca9eeff5dfe5","bytes":174}},"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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