{"slug":"hunter-natural-creation-logical-order","identifier":"hunter-natural-creation-logical-order","title":"Natural Creation, Law, and Cause — Logical Order","author":"Maclain Hunter","sourceSha256":"9aa6de04cc79c2b14f507870905acc70c15bc54de72653cff290eef9ebf17617","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:33:22.564Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:40:30.456Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{1, 1 -> 2, 2 -> 3, 3 -> 4, 4 -> 5} |= ((1 & 2) -> (3 & 4)) -> 5","sourceOffset":3298,"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":["1","2","3","4","5"],"premises":["1","1 -> 2","2 -> 3","3 -> 4","4 -> 5"],"conclusion":"((1 & 2) -> (3 & 4)) -> 5","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :\n    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || ((!((!(v0 && v1)) || (v2 && v3))) || v4)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"},{"id":"source_identity_rule","sourceStatement":"Law of Identity","sourceOffset":1349,"scope":"The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.","status":"candidate","variables":[],"premises":[],"conclusion":"∀ (α : Type) (a : α), a = a","leanStatement":"theorem source_identity_rule (α : Type) (a : α) : a = a := rfl\n#print axioms source_identity_rule\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.source_identity_rule"}],"files":{"source.json":{"sha256":"5bc74f2155901334f8fee4e07cdba143a69f8c92aec94e63e1c3e668218f5adc","bytes":6082},"Proof.lean":{"sha256":"f5964a88928bbff6ef977e640f32d3d378b9db4032d61d9dae15a2e76d10046d","bytes":694},"lean-check.txt":{"sha256":"c984470b7e70c1b533a43d5274fb204be8ef76a0e5c9aaacde641a6b4b8b74fd","bytes":183}},"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. 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