{"slug":"hunter-foundational-coherence-proof","identifier":"hunter-foundational-coherence-proof","title":"Proof of Foundational Coherence by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"06170827c28cd5c5bb2b0127f7c1b85d28d4e67db66110df2fec1dccc62aae7e","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:35:08.823Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:41:04.104Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, P <-> Q, R -> P, R -> Q} |= R -> (P & Q)","sourceOffset":3690,"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 -> P","R -> Q"],"conclusion":"R -> (P & Q)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!(((v0 && (v0 == v1)) && ((!v2) || v0)) && ((!v2) || v1))) || ((!v2) || (v0 && v1))) = 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"},{"id":"source_identity_rule","sourceStatement":"Law of Identity","sourceOffset":2237,"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":"b533da5ded2b71143e24446fc1c39f8acabfca4184b5dfa7c2658ec17b7b036a","bytes":7338},"Proof.lean":{"sha256":"ddf423fe8a0ac438b9f50988a4579509bfe9ba863326f186b405fbf920ee453d","bytes":620},"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":"06170827c28cd5c5bb2b0127f7c1b85d28d4e67db66110df2fec1dccc62aae7e","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-foundational-coherence-proof","jsonUrl":"/proof-verification/hunter-foundational-coherence-proof.json","leanUrl":"/proof-verification/hunter-foundational-coherence-proof.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://mcbcore.net/proof-verification/hunter-foundational-coherence-proof#lean","name":"Lean 4 witness: Proof of Foundational Coherence by Maclain Hunter","url":"https://mcbcore.net/proof-verification/hunter-foundational-coherence-proof","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:41:04.104Z","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"}]}}