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theorem proved term proof

Prcl_mixed_diff

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formal statement (Lean)

  78theorem Prcl_mixed_diff : ∀ u₀ v₀ u₁ v₁ : ℝ,
  79    Prcl u₁ v₁ - Prcl u₁ v₀ - Prcl u₀ v₁ + Prcl u₀ v₀ = 2 * (u₁ - u₀) * (v₁ - v₀) := by

proof body

Term-mode proof.

  80  intro u₀ v₀ u₁ v₁
  81  simp only [Prcl]
  82  ring
  83
  84/-- Prcl is entangling. Witness: (0,0) and (1,1) give mixed diff = 2. -/

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depends on (6)

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