{"slug":"hunter-energy-electricity-identity","identifier":"hunter-energy-electricity-identity","title":"Logic, Energy, and Electrical Identity","author":"Maclain Hunter","sourceSha256":"498c02e6eca5466d308492b3bdc56fdb7fe30ed94774e302ba2d5db87a50c9bd","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:12:03.037Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:29.204Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, P -> Q, P -> R} |= (P & Q) & R","sourceOffset":241,"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","P -> R"],"conclusion":"(P & Q) & R","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((v0 && ((!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":"source_identity_rule","sourceStatement":"A = A","sourceOffset":85,"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":"6d6a4d62ea40dc81f3eb6cd83187679a56672bbe6458e7de6b21107829a7b55a","bytes":872},"Proof.lean":{"sha256":"030d67ad860f9f72376d31b98d6cbde1bba250f4c3bffd5e6e03df82b4e7d9d3","bytes":590},"lean-check.txt":{"sha256":"c984470b7e70c1b533a43d5274fb204be8ef76a0e5c9aaacde641a6b4b8b74fd","bytes":183}},"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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