{"slug":"hunter-grounding-of-logic","identifier":"hunter-grounding-of-logic","title":"The Grounding of Logic by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"e90490726127e3c6a1bac523aa85ebbb09829f06da7ea2064e3af39d0b8b882b","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T20:57:52.298Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:42:09.739Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{A -> B, A -> C} |= A -> (B & C)","sourceOffset":2008,"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":["A","B","C"],"premises":["A -> B","A -> C"],"conclusion":"A -> (B & C)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!(((!v0) || v1) && ((!v0) || v2))) || ((!v0) || (v1 && v2))) = 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"},{"id":"inference_2","sourceStatement":"{P, P & Q, Q & R, R & S} |= (P <-> Q) <-> (R <-> S)","sourceOffset":3012,"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","S"],"premises":["P","P & Q","Q & R","R & S"],"conclusion":"(P <-> Q) <-> (R <-> S)","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && (v0 && v1)) && (v1 && v2)) && (v2 && v3))) || ((v0 == v1) == (v2 == v3))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide\n#print axioms inference_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"},{"id":"source_identity_rule","sourceStatement":"Logic is Logic","sourceOffset":647,"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":"02f452b000a6ea41ba086bec29981c1404d4516aa4c720cd803bfc64ccf7c3e5","bytes":8874},"Proof.lean":{"sha256":"03b1519fdd0c4ffe91ecdfbf14002fe50635049423d5d90fbfb33cbfb41a7e8f","bytes":821},"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":"e90490726127e3c6a1bac523aa85ebbb09829f06da7ea2064e3af39d0b8b882b","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-grounding-of-logic","jsonUrl":"/proof-verification/hunter-grounding-of-logic.json","leanUrl":"/proof-verification/hunter-grounding-of-logic.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://4p-engine.com/proof-verification/hunter-grounding-of-logic#lean","name":"Lean 4 witness: The Grounding of Logic by Maclain Hunter","url":"https://4p-engine.com/proof-verification/hunter-grounding-of-logic","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:42:09.739Z","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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