{"slug":"hunter-grounded-fol-fcl","identifier":"hunter-grounded-fol-fcl","title":"Grounded FOL and FCL","author":"Maclain Hunter","sourceSha256":"72e9a6f90ae7c26f3c80bf7dbdfddf0d5d8718ba39661e57fe541d53b7b8022f","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:29:55.789Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:38:44.902Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, P → Q, Q → R, R → S, S → T} ⊢ T","sourceOffset":2854,"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","T"],"premises":["P","P → Q","Q → R","R → S","S → T"],"conclusion":"T","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :\n    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || 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"}],"files":{"source.json":{"sha256":"6e70a74c2dac6f03fd49de6fd1c8ff6f4ff7a2f71605eb42f84af0b93e09ecdd","bytes":4604},"Proof.lean":{"sha256":"e6da4d3cf5f28dd2b1732f2e18453b7324b23929c8c92066ce7dc2e7dc970555","bytes":525},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"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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The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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