theorem
proved
term proof
costCompose_sub_left
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formal statement (Lean)
490theorem costCompose_sub_left (a b₁ b₂ : ℝ) :
491 a ★ b₁ - a ★ b₂ = (2 * a + 2) * (b₁ - b₂) := by
proof body
Term-mode proof.
492 unfold costCompose
493 ring
494
495/-- Equation (2.6): left-cancellation holds on the nonnegative cost range. -/