{"slug":"hunter-all-contextual-identity-ground","identifier":"hunter-all-contextual-identity-ground","title":"All, Contextual Identity, and Cooperative Coherence","author":"Maclain Hunter","sourceSha256":"774b8ec047741ec3f9b88b671e87f83bc6d6e0e8653932782db9e1594e9290f8","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:37:25.068Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:37:20.756Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2","HunterAuthored.inference_3","HunterAuthored.inference_4"],"units":[{"id":"inference_1","sourceStatement":"{P} |= P","sourceOffset":920,"scope":"Exact source sequent under finite two-valued propositional semantics. 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Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.","variables":["Q"],"premises":["Q"],"conclusion":"Q","status":"candidate","leanStatement":"theorem inference_2 (v0 : Bool) :\n    ((!v0) || v0) = true := by\n  cases v0 <;> decide\n#print axioms inference_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"},{"id":"inference_3","sourceStatement":"{P, P <-> Q, Q, Q -> P} |= P & Q","sourceOffset":1061,"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","P <-> Q","Q","Q -> P"],"conclusion":"P & Q","status":"candidate","leanStatement":"theorem inference_3 (v0 v1 : Bool) :\n    ((!(((v0 && (v0 == v1)) && v1) && ((!v1) || v0))) || (v0 && v1)) = true := by\n  cases v0 <;> cases v1 <;> decide\n#print axioms inference_3\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_3"},{"id":"inference_4","sourceStatement":"{Q, Q <-> P, P, P -> Q} |= Q & P","sourceOffset":1096,"scope":"Exact source sequent under finite two-valued propositional semantics. 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