{"slug":"hunter-reality-logical-coherence","identifier":"hunter-reality-logical-coherence","title":"Reality’s Logical Coherence by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"e1b3ca8591290456f7f5f61874dffbf1c6ef9917701ab107f43d0500acf3cf81","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T16:41:48.607Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:41:20.515Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2","HunterAuthored.inference_3","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, P <-> Q, Q <-> R, R <-> S, S <-> T, T <-> U, U} |= (((P & Q) & (R & S) & T) & U)","sourceOffset":6770,"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","U"],"premises":["P","P <-> Q","Q <-> R","R <-> S","S <-> T","T <-> U","U"],"conclusion":"(((P & Q) & (R & S) & T) & U)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :\n    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && v5)) || ((((v0 && v1) && (v2 && v3)) && v4) && v5)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"},{"id":"inference_2","sourceStatement":"{P, Q, R, S} |= (P & Q) & (R & S)","sourceOffset":13633,"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","Q","R","S"],"conclusion":"(P & Q) & (R & S)","status":"candidate","leanStatement":"theorem inference_2 (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_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"},{"id":"inference_3","sourceStatement":"{P, P <-> Q, Q <-> R, R <-> S} |= (P & Q) & (R & S)","sourceOffset":14411,"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_3 (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_3\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_3"},{"id":"source_identity_rule","sourceStatement":"A is A","sourceOffset":2601,"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":"0566b1bdda70b135a48fd31258a1f328780204c4c2e0c83255e4a6b6b4ee18e5","bytes":16952},"Proof.lean":{"sha256":"9b775c426103efb554b2491fe7ae2b9adc1892ce4efdd858df4d77278e768ed2","bytes":1165},"lean-check.txt":{"sha256":"b2a13c78d5e07cc13897edfa6e4ad95b717a32423f43c97d6c342c394c93869c","bytes":301}},"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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