{"slug":"hunter-i-know-proof","identifier":"hunter-i-know-proof","title":"Proof I Know Proof by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"caeb1858685cf29c9a5af2110bd481d5295f718627e8ccc3ec5de5f3156112bb","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T17:13:02.889Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:40:59.512Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, P <-> Q, Q <-> R, R <-> S} |= (P & Q) & (R & S)","sourceOffset":1800,"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","R <-> S"],"conclusion":"(P & Q) & (R & S)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (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"}],"files":{"source.json":{"sha256":"f846ea3551fd385f0499f51ca6f913d52fd047d0d5f102f5087ebed38c7a2330","bytes":4304},"Proof.lean":{"sha256":"27264e8284de641b458413b58c948c049de1504b59749f96bc921567b7124939","bytes":521},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"boundary":"Lean establishes the listed formal statements and dependencies. 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