{"slug":"hunter-tautological-formal-systems","identifier":"hunter-tautological-formal-systems","title":"Tautological Formal Systems of Logic","author":"Maclain Hunter","sourceSha256":"a8c841517693417574606e51b96d4f36bb87ffec3a3a2489ff0c88f134cfa539","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:11:12.666Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:41:51.768Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, Q, P <-> Q} |= (P & Q) & ~~(P & Q)","sourceOffset":236,"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"],"premises":["P","Q","P <-> Q"],"conclusion":"(P & Q) & ~~(P & Q)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 : Bool) :\n    ((!((v0 && v1) && (v0 == v1))) || ((v0 && v1) && (!(!(v0 && v1))))) = true := by\n  cases v0 <;> cases v1 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"}],"files":{"source.json":{"sha256":"3f40d50690b4c0852d5d9824ea88048afe872a974d3cc9839ecaa91df1ccf32e","bytes":874},"Proof.lean":{"sha256":"131e64ef06f724dbeb0a0491d79bb43e9da6ec45ab36bb5f55d10814919c75db","bytes":471},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"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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