{"slug":"hunter-nothing-nowhere-logical-ground","identifier":"hunter-nothing-nowhere-logical-ground","title":"Exploring Concepts of Nothing and Nowhere by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"04b55541939a50d8cde70951ac6429052ada570ec761b07c636e81ba594d6ee2","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:37:17.469Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:38:12.053Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, Q, P <-> Q, Q <-> P, Q, P} |= (P & Q) <-> (Q & P)","sourceOffset":1004,"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"],"premises":["P","Q","P <-> Q","Q <-> P","Q","P"],"conclusion":"(P & Q) <-> (Q & P)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 : Bool) :\n    ((!(((((v0 && v1) && (v0 == v1)) && (v1 == v0)) && v1) && v0)) || ((v0 && v1) == (v1 && v0))) = true := by\n  cases v0 <;> cases v1 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"}],"files":{"source.json":{"sha256":"a192132a9861c3e8cf22480e38eefd120a88201ba64543111e967269725b1a9a","bytes":2587},"Proof.lean":{"sha256":"26f7100491a41a7b581e4ed4215cf4c80ffba5f2c4e58043c48110c55ea8c298","bytes":520},"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":"04b55541939a50d8cde70951ac6429052ada570ec761b07c636e81ba594d6ee2","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-nothing-nowhere-logical-ground","jsonUrl":"/proof-verification/hunter-nothing-nowhere-logical-ground.json","leanUrl":"/proof-verification/hunter-nothing-nowhere-logical-ground.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://mcbcore.net/proof-verification/hunter-nothing-nowhere-logical-ground#lean","name":"Lean 4 witness: Exploring Concepts of Nothing and Nowhere by Maclain Hunter","url":"https://mcbcore.net/proof-verification/hunter-nothing-nowhere-logical-ground","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:38:12.053Z","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":"Exploring Concepts of Nothing and Nowhere by Maclain Hunter","author":{"@type":"Person","name":"Maclain Hunter"},"url":"https://mcbcore.net/proof-knowledge/hunter-nothing-nowhere-logical-ground","identifier":"hunter-nothing-nowhere-logical-ground"},"encoding":{"@type":"MediaObject","encodingFormat":"text/plain","contentUrl":"https://mcbcore.net/proof-verification/hunter-nothing-nowhere-logical-ground.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\"]"},{"@type":"PropertyValue","name":"sourceSha256","value":"04b55541939a50d8cde70951ac6429052ada570ec761b07c636e81ba594d6ee2"},{"@type":"PropertyValue","name":"releaseManifestSha256","value":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4"},{"@type":"PropertyValue","name":"sourceRecordedAt","value":"2026-10-03T01:37:17.469Z"},{"@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"}]}}