theorem
proved
term proof
convergence_is_second_order
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formal statement (Lean)
98theorem convergence_is_second_order (a : ℝ) (ha : 0 < a) (ha1 : a < 1) :
99 (a / 2) ^ 2 = a ^ 2 / 4 := by ring
proof body
Term-mode proof.
100
101/-- Second-order convergence implies the error vanishes as a -> 0. -/