Theorems · Theorem · measure theory
HasCompactSupport.enorm_le_lintegral_Ici_deriv
∀ {F : Type u_2} [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F] {f : ℝ → F},
ContDiff ℝ 1 f → HasCompactSupport f → ∀ (x : ℝ), ‖f x‖ₑ ≤ ∫⁻ (y : ℝ) in Set.Iic x, ‖deriv f y‖ₑ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_auxproof · cited by 1