{
  "author": "Maclain Hunter",
  "title": "Seven Cycle Logic Completeness",
  "identifier": "formal-seven-cycle-logic-completeness",
  "sourceKind": "formal-theorem",
  "content": "Formal statement: ∀u ∈ ValidMCBUnit: SevenCycle(u).cycleComplete = true\n\nProof: Each step follows from MCB construction invariants\n\nSteps:\n1. Identity (A = A)\n2. Non-Contradiction (¬(A ∧ ¬A))\n3. Excluded Middle (A ∨ ¬A)\n4. Logos Alignment\n5. MCB Parity\n6. 4P Validation\n7. Halting Proof",
  "formal": "∀u ∈ ValidMCBUnit: SevenCycle(u).cycleComplete = true",
  "structuredAuthoredProof": "Each step follows from MCB construction invariants",
  "authoredSteps": [
    "Identity (A = A)",
    "Non-Contradiction (¬(A ∧ ¬A))",
    "Excluded Middle (A ∨ ¬A)",
    "Logos Alignment",
    "MCB Parity",
    "4P Validation",
    "Halting Proof"
  ],
  "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."
}