{"slug":"hunter-logical-rules-god","identifier":"hunter-logical-rules-god","title":"Logical Rules and God by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"0278acc2e2592d9317c36aa68f6236235fd8e78ba1c3de31b67c0b04d64a739e","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T18:23:08.593Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:47.209Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{1, 2, 3, 4} |= (1 & 2) <-> (3 & 4)","sourceOffset":1556,"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"],"premises":["1","2","3","4"],"conclusion":"(1 & 2) <-> (3 & 4)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && v1) && v2) && v3)) || ((v0 && v1) == (v2 && v3))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"},{"id":"inference_2","sourceStatement":"{P, P <-> Q, Q <-> R, R <-> P} |= (P & Q) <-> R","sourceOffset":1929,"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","R <-> P"],"conclusion":"(P & Q) <-> R","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 : Bool) :\n    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v0))) || ((v0 && v1) == v2)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"},{"id":"source_identity_rule","sourceStatement":"Law of Identity","sourceOffset":339,"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":"1167830ce3bc9411c914e09b3968b3fe68b77b14805caef12b7c95fd4cc73a8d","bytes":4907},"Proof.lean":{"sha256":"8ac514b7fafed4f1fb1f7807363f9da2ce83ae50ae7c59b757648e3567fd5f73","bytes":811},"lean-check.txt":{"sha256":"40b7da001d5d78d36b6960c8ae1b7c13a2ea6cf5f9da51ea55e40e490d78ea16","bytes":242}},"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":"0278acc2e2592d9317c36aa68f6236235fd8e78ba1c3de31b67c0b04d64a739e","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-logical-rules-god","jsonUrl":"/proof-verification/hunter-logical-rules-god.json","leanUrl":"/proof-verification/hunter-logical-rules-god.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://4p-engine.com/proof-verification/hunter-logical-rules-god#lean","name":"Lean 4 witness: Logical Rules and God by Maclain Hunter","url":"https://4p-engine.com/proof-verification/hunter-logical-rules-god","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:39:47.209Z","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. 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