Real.lt_tan

∀ {x : ℝ}, 0 < x → x < Real.pi / 2 → x < Real.tan x

For all 0 < x < π/2 we have x < tan x. This is proved by checking that the function tan x - x vanishes at zero and has non-negative derivative.

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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