{"slug":"hunter-logical-glue","identifier":"hunter-logical-glue","title":"Logical Glue by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"7d56dc7b3ac75ae16613fe529c56e611089b96c6e4296b2edd564d1f51ca578e","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T19:42:29.243Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:40.847Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, Q, P -> Q, Q -> P, R, R -> P, R -> Q} |= (P & Q) & R","sourceOffset":1647,"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","Q","P -> Q","Q -> P","R","R -> P","R -> Q"],"conclusion":"(P & Q) & R","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((((((v0 && v1) && ((!v0) || v1)) && ((!v1) || v0)) && v2) && ((!v2) || v0)) && ((!v2) || 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"},{"id":"source_identity_rule","sourceStatement":"A is A","sourceOffset":76,"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":"3d96fa6c77d1daa3afd63d7f746f1ae45339cf2f80b6447b84672fd6a512122e","bytes":4108},"Proof.lean":{"sha256":"437703608fb60f4d1fd93c33522974207467fce9969b7283e270847493fb88db","bytes":636},"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":"7d56dc7b3ac75ae16613fe529c56e611089b96c6e4296b2edd564d1f51ca578e","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-logical-glue","jsonUrl":"/proof-verification/hunter-logical-glue.json","leanUrl":"/proof-verification/hunter-logical-glue.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://mcbcore.net/proof-verification/hunter-logical-glue#lean","name":"Lean 4 witness: Logical Glue by Maclain Hunter","url":"https://mcbcore.net/proof-verification/hunter-logical-glue","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:39:40.847Z","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. No unencoded section is certified by a neighboring theorem.","isBasedOn":{"@type":"CreativeWork","name":"Logical Glue by Maclain Hunter","author":{"@type":"Person","name":"Maclain Hunter"},"url":"https://mcbcore.net/proof-knowledge/hunter-logical-glue","identifier":"hunter-logical-glue"},"encoding":{"@type":"MediaObject","encodingFormat":"text/plain","contentUrl":"https://mcbcore.net/proof-verification/hunter-logical-glue.lean"},"subjectOf":{"@type":"DigitalDocument","name":"Independently verified RFC 3161 existence timestamp","dateCreated":"2026-10-03T10:42:55.000Z","url":"https://mcbcore.net/proof-verification/timestamp.json"},"additionalProperty":[{"@type":"PropertyValue","name":"verificationStatus","value":"verified"},{"@type":"PropertyValue","name":"axiomFree","value":"true"},{"@type":"PropertyValue","name":"axiomDependencies","value":"[]"},{"@type":"PropertyValue","name":"theorems","value":"[\"HunterAuthored.inference_1\",\"HunterAuthored.source_identity_rule\"]"},{"@type":"PropertyValue","name":"sourceSha256","value":"7d56dc7b3ac75ae16613fe529c56e611089b96c6e4296b2edd564d1f51ca578e"},{"@type":"PropertyValue","name":"releaseManifestSha256","value":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4"},{"@type":"PropertyValue","name":"sourceRecordedAt","value":"2026-10-02T19:42:29.243Z"},{"@type":"PropertyValue","name":"sourceDateMeaning","value":"Database registration time, not a claim of original handwritten authorship."},{"@type":"PropertyValue","name":"originalAuthoredAt","value":"null"},{"@type":"PropertyValue","name":"timestampAuthority","value":"https://www.freetsa.org"},{"@type":"PropertyValue","name":"timestampScope","value":"Independent cryptographic existence timestamp for the manifest and its content-addressed artifacts. 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"}]}}