{"slug":"hunter-logos-theos-arche-arabic-copy","identifier":"hunter-logos-theos-arche-arabic-copy","title":"Logos, Theos, and Arche — Arabic-Term Version","author":"Maclain Hunter","sourceSha256":"1822c6f4c55e1dfe89a942c82065872b89b1377b7963a180f88ab3aaeea9eb14","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:43:51.633Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:59.855Z","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":226,"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":"05d656f42ae3340aa33915ee81a49e54b256cd79da55c1c28f5aa68847ea1a3e","bytes":879},"Proof.lean":{"sha256":"d2f32e9acfaa6ac540f7ac0193ae623657a32ea7f187004d63ffdec107a62ecc","bytes":526},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"boundary":"Lean establishes the listed formal statements and dependencies. 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