{
  "author": "Maclain Hunter",
  "title": "AND Commutativity",
  "identifier": "formal-and-commutativity",
  "sourceKind": "formal-theorem",
  "content": "Formal statement: ∀a,b ∈ MCBExponent: AND(a,b) = AND(b,a)\n\nProof: Follows from commutativity of multiplication and symmetry of min",
  "formal": "∀a,b ∈ MCBExponent: AND(a,b) = AND(b,a)",
  "structuredAuthoredProof": "Follows from commutativity of multiplication and symmetry of min",
  "authoredSteps": null,
  "recordedAt": null,
  "originalAuthoredAt": null,
  "propositionMeaningBoundary": "Atomic identifiers retain their meanings in the exact source. No arbitrary truth assignment establishes an ontological or empirical premise; the formal witness checks the written inference."
}