| 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 | |