Real.sin_gt_sub_cube

∀ {x : ℝ}, 0 < x → x - x ^ 3 / 6 < Real.sin x

For 0 < x we have x - x ^ 3 / 6 < sin x. This inequality is tight, in that the constant 6 is best possible.

Defined in: Mathlib.Analysis.SpecialFunctions.Trigonometric.Bounds
Cited by: 2 results in Mathlib
Foundations: Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

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