{"slug":"hunter-bells-theorem-global-coherence","identifier":"hunter-bells-theorem-global-coherence","title":"Bell's Theorem and Global Coherence","author":"Maclain Hunter","sourceSha256":"1a30ae6ac9e576ea4ea55dd7efbb117d5bfbd0056101d7d21c78e0521fb92740","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:44:10.173Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:37:38.122Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, P -> Q, Q -> R} |= R","sourceOffset":256,"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","Q -> R"],"conclusion":"R","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((v0 && ((!v0) || v1)) && ((!v1) || v2))) || 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"}],"files":{"source.json":{"sha256":"96d45a1355e7e775b65d55e1eff98b7462d48cd660a5e1bd801296095ea43a30","bytes":872},"Proof.lean":{"sha256":"05078850e6380590bfb9676a4daad033cb19b30d7d7d4d90b7432ab8ce5d40c9","bytes":470},"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":"1a30ae6ac9e576ea4ea55dd7efbb117d5bfbd0056101d7d21c78e0521fb92740","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-bells-theorem-global-coherence","jsonUrl":"/proof-verification/hunter-bells-theorem-global-coherence.json","leanUrl":"/proof-verification/hunter-bells-theorem-global-coherence.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://mcbcore.net/proof-verification/hunter-bells-theorem-global-coherence#lean","name":"Lean 4 witness: Bell's Theorem and Global Coherence","url":"https://mcbcore.net/proof-verification/hunter-bells-theorem-global-coherence","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:37:38.122Z","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":"Bell's Theorem and Global Coherence","author":{"@type":"Person","name":"Maclain Hunter"},"url":"https://mcbcore.net/proof-knowledge/hunter-bells-theorem-global-coherence","identifier":"hunter-bells-theorem-global-coherence"},"encoding":{"@type":"MediaObject","encodingFormat":"text/plain","contentUrl":"https://mcbcore.net/proof-verification/hunter-bells-theorem-global-coherence.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":"1a30ae6ac9e576ea4ea55dd7efbb117d5bfbd0056101d7d21c78e0521fb92740"},{"@type":"PropertyValue","name":"releaseManifestSha256","value":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4"},{"@type":"PropertyValue","name":"sourceRecordedAt","value":"2026-10-02T23:44:10.173Z"},{"@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"}]}}