Theorems · Theorem · real analysis
Real.sin_ge_sub_cube
∀ {x : ℝ}, 0 ≤ x → x - x ^ 3 / 6 ≤ Real.sin xFor 0 ≤ x we have x - x ^ 3 / 6 ≤ sin x. This inequality is tight, in that the constant 6 is best possible.
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- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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