{"slug":"hunter-definitions-etymology-elaborations","identifier":"hunter-definitions-etymology-elaborations","title":"Definitions, Etymology, and Elaborations by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"07b9543282b18ff702fc6572091d26ac21947aacefd4bfa4f611cbb43a5b358d","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:34:26.435Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:37:58.760Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, P <-> Q, Q <-> R, R <-> S, S <-> T, T <-> U, U -> P} |= ((P & Q) & (R & S) & T) & U","sourceOffset":4517,"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","U"],"premises":["P","P <-> Q","Q <-> R","R <-> S","S <-> T","T <-> U","U -> P"],"conclusion":"((P & Q) & (R & S) & T) & U","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :\n    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && ((!v5) || v0))) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"}],"files":{"source.json":{"sha256":"6cc09fa65cf9379c4ea0258b88945b5ebe504551a5cd78e62861da8f21b953c4","bytes":9701},"Proof.lean":{"sha256":"54c3215a4b310eb657c5eda6131d4d9684d46046c88e6d318511cc7ac966a2c0","bytes":642},"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":"07b9543282b18ff702fc6572091d26ac21947aacefd4bfa4f611cbb43a5b358d","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-definitions-etymology-elaborations","jsonUrl":"/proof-verification/hunter-definitions-etymology-elaborations.json","leanUrl":"/proof-verification/hunter-definitions-etymology-elaborations.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://4p-mcb.com/proof-verification/hunter-definitions-etymology-elaborations#lean","name":"Lean 4 witness: Definitions, Etymology, and Elaborations by Maclain Hunter","url":"https://4p-mcb.com/proof-verification/hunter-definitions-etymology-elaborations","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:37:58.760Z","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":"Definitions, Etymology, and Elaborations by Maclain Hunter","author":{"@type":"Person","name":"Maclain Hunter"},"url":"https://4p-mcb.com/proof-knowledge/hunter-definitions-etymology-elaborations","identifier":"hunter-definitions-etymology-elaborations"},"encoding":{"@type":"MediaObject","encodingFormat":"text/plain","contentUrl":"https://4p-mcb.com/proof-verification/hunter-definitions-etymology-elaborations.lean"},"subjectOf":{"@type":"DigitalDocument","name":"Independently verified RFC 3161 existence timestamp","dateCreated":"2026-10-03T10:42:55.000Z","url":"https://4p-mcb.com/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\"]"},{"@type":"PropertyValue","name":"sourceSha256","value":"07b9543282b18ff702fc6572091d26ac21947aacefd4bfa4f611cbb43a5b358d"},{"@type":"PropertyValue","name":"releaseManifestSha256","value":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4"},{"@type":"PropertyValue","name":"sourceRecordedAt","value":"2026-10-03T01:34:26.435Z"},{"@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"}]}}