{"slug":"hunter-grand-loop","identifier":"hunter-grand-loop","title":"The Grand Loop","author":"Maclain Hunter","sourceSha256":"ce242959d2333e6dcedb61d5c33506ff698f04381a311d0b8e2944f6ea479b29","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:32:03.466Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:42:07.063Z","status":"partial","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_2"],"units":[{"id":"inference_1","sourceStatement":"{P,P>Q,Q>R, R>S,S>T,T>U,U>P}\n|=((P&Q)&(R&S)&T)&U)","sourceOffset":17,"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":[],"premises":[],"conclusion":"","status":"unsupported","reason":"Unsupported formal syntax near \">Q\"","kernelStatus":"not_checked"},{"id":"inference_2","sourceStatement":"{P, P → Q, Q → R, R → S, S → T, T → U, U → P, ~(~P & ~Q & ~R & ~S & ~T & ~U)} |= ((P & Q) & (R & S) & T) & U","sourceOffset":69,"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 → P","~(~P & ~Q & ~R & ~S & ~T & ~U)"],"conclusion":"((P & Q) & (R & S) & T) & U","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :\n    ((!(((((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4)) && ((!v4) || v5)) && ((!v5) || v0)) && (!((((((!v0) && (!v1)) && (!v2)) && (!v3)) && (!v4)) && (!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_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"}],"files":{"source.json":{"sha256":"5868775f8efb8bf01031852837ee8bd6194781fc8fc33979abea9cf838cbf20f","bytes":3311},"Proof.lean":{"sha256":"c2db3d2497de1a71d0d4fba159a262b13988478baee3b6184559dc34c2248ba0","bytes":682},"lean-check.txt":{"sha256":"740863296048b83b7cd879ce809b9047c55288a43dfa8b77f4b45e1d50e9c3b3","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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