{"slug":"hunter-objective-coherence-proof","identifier":"hunter-objective-coherence-proof","title":"Proof Aligned with Objective Coherence by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"d1ae37101271d339789bc9275858a3fa7c0efef5c061b298c119ed34f348f3e3","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T14:38:27.360Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:40:58.524Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, Q, R, S, T} |= ((P & Q) & (R & S)) & T","sourceOffset":2464,"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","T"],"premises":["P","Q","R","S","T"],"conclusion":"((P & Q) & (R & S)) & T","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :\n    ((!((((v0 && v1) && v2) && v3) && v4)) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"},{"id":"source_identity_rule","sourceStatement":"Law of Identity","sourceOffset":1160,"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":"1ffa91abb8af66cea745c1beaea6c35e7ee35c7022e47273e02b1d7f228ca62c","bytes":6566},"Proof.lean":{"sha256":"ce311301e1bc189849fa34b524b5477e5cf0f489ac21e5ee284136a9183b6bc6","bytes":650},"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. No unencoded section is certified by a neighboring theorem.","currentSourceSha256":"d1ae37101271d339789bc9275858a3fa7c0efef5c061b298c119ed34f348f3e3","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-objective-coherence-proof","jsonUrl":"/proof-verification/hunter-objective-coherence-proof.json","leanUrl":"/proof-verification/hunter-objective-coherence-proof.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://mcbcore.net/proof-verification/hunter-objective-coherence-proof#lean","name":"Lean 4 witness: Proof Aligned with Objective Coherence by Maclain Hunter","url":"https://mcbcore.net/proof-verification/hunter-objective-coherence-proof","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:40:58.524Z","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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Not legal notarization, an authorship adjudication, or a retroactive timestamp for handwritten work."},{"@type":"PropertyValue","name":"governingGround","value":"Logic / Logos / God"},{"@type":"PropertyValue","name":"formalizationAttribution","value":"Machine formalization by Replit Agent of Maclain Hunter's unchanged authored source"}]}}