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12dee50 | 1 2 3 4 5 6 7 8 9 10 11 | import Mathlib
namespace OAI
open scoped ContDiff NNReal
lemma hasCompactSupport_fderiv_bound {W E : Type*} [NormedAddCommGroup W] [NormedSpace ℝ W]
[NormedAddCommGroup E] [NormedSpace ℝ E] (f : W → E) (hf : ContDiff ℝ 1 f)
(hs : HasCompactSupport f) : ∃ C : ℝ, ∀ p, ‖fderiv ℝ f p‖≤C := by
exact (hs.fderiv ℝ).exists_bound_of_continuous (hf.continuous_fderiv (by norm_num))
end OAI
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