antitone_of_deriv_nonpos

∀ {f : ℝ → ℝ}, Differentiable ℝ f → (∀ (x : ℝ), deriv f x ≤ 0) → Antitone f

Let f : ℝ → ℝ be a differentiable function. If f' is nonpositive, then f is an antitone function.

Defined in: Mathlib.Analysis.Calculus.Deriv.MeanValue
Cited by: 1 results in Mathlib
Foundations: Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound

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