{"slug":"hunter-information-based-origin","identifier":"hunter-information-based-origin","title":"Information Based Proof of Origin by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"4a128d061214c71b5daf72d3e0cb4a81b02e4565d9932076473b7de4a5cce9c5","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:34:28.886Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:38:57.272Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, P <-> Q, R, R -> P, R -> Q, Q} |= (P & Q) & R","sourceOffset":1083,"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 <-> Q","R","R -> P","R -> Q","Q"],"conclusion":"(P & Q) & R","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!(((((v0 && (v0 == v1)) && v2) && ((!v2) || v0)) && ((!v2) || v1)) && v1)) || ((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"}],"files":{"source.json":{"sha256":"1076c4131aacb1b6e6185f9a8cbfab16632ac4814862a72a4421ecbe991f3484","bytes":2623},"Proof.lean":{"sha256":"f85bdd4af377b698dc5f6f3a3291b596d7b5aa1c87576f80de789fbc73a4347b","bytes":534},"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. No unencoded section is certified by a neighboring theorem.","currentSourceSha256":"4a128d061214c71b5daf72d3e0cb4a81b02e4565d9932076473b7de4a5cce9c5","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-information-based-origin","jsonUrl":"/proof-verification/hunter-information-based-origin.json","leanUrl":"/proof-verification/hunter-information-based-origin.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://4p-engine.com/proof-verification/hunter-information-based-origin#lean","name":"Lean 4 witness: Information Based Proof of Origin by Maclain Hunter","url":"https://4p-engine.com/proof-verification/hunter-information-based-origin","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:38:57.272Z","creator":{"@type":"Organization","name":"Replit Agent"},"programmingLanguage":{"@type":"ComputerLanguage","name":"Lean","version":"Lean (version 4.7.0, commit v4.7.0, Release)"},"author":{"@type":"Organization","name":"Replit Agent"},"description":"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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