{"slug":"hunter-logos-theos-arche-latin","identifier":"hunter-logos-theos-arche-latin","title":"Logos, Theos, and Arche","author":"Maclain Hunter","sourceSha256":"675021f4ed3153e539a8d449bc24a7bf755ce30570bc18e9ceef16f9f3f6c2f1","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:10:23.752Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:58.992Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, P -> S, S -> R} |= S <-> ((S -> ~(P <-> ~S)) -> R)","sourceOffset":160,"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","R","S"],"premises":["P","P -> S","S -> R"],"conclusion":"S <-> ((S -> ~(P <-> ~S)) -> R)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((v0 && ((!v0) || v2)) && ((!v2) || v1))) || (v2 == ((!((!v2) || (!(v0 == (!v2))))) || 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"}],"files":{"source.json":{"sha256":"4f2afbdf9ac7d515ed5abb13fed1d766164c73402b1d9e0ca78f1545395dbb96","bytes":783},"Proof.lean":{"sha256":"ab77fca33a8a55a4ae34e07a459b0342bf59c47c257e93f4de40b397716abe25","bytes":502},"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":"675021f4ed3153e539a8d449bc24a7bf755ce30570bc18e9ceef16f9f3f6c2f1","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-logos-theos-arche-latin","jsonUrl":"/proof-verification/hunter-logos-theos-arche-latin.json","leanUrl":"/proof-verification/hunter-logos-theos-arche-latin.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://mcbcore.net/proof-verification/hunter-logos-theos-arche-latin#lean","name":"Lean 4 witness: Logos, Theos, and Arche","url":"https://mcbcore.net/proof-verification/hunter-logos-theos-arche-latin","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:39:58.992Z","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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