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theorem proved term proof

unity_defect_zero

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formal statement (Lean)

  60theorem unity_defect_zero {N : ℕ} (hN : 0 < N) :
  61    total_defect (unity_config N hN) = 0 := by

proof body

Term-mode proof.

  62  unfold total_defect unity_config
  63  simp only [LawOfExistence.defect_at_one]
  64  exact Finset.sum_const_zero
  65
  66/-! ## The Initial Condition is Forced -/
  67
  68/-- **Theorem (F-005 core)**: The unity configuration is the unique
  69    zero-total-defect configuration.
  70    Every entry must be 1 for total defect to vanish. -/

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