Theorems · Theorem · global analysis
ContDiffBump.normed_le_div_measure_closedBall_rOut
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E]
[inst_3 : MeasurableSpace E] {c : E} (f : ContDiffBump c) (μ : MeasureTheory.Measure E) [BorelSpace E]
[FiniteDimensional ℝ E] [MeasureTheory.IsLocallyFiniteMeasure μ] [μ.IsAddHaarMeasure] (K : ℝ),
f.rOut ≤ K * f.rIn → ∀ (x : E), f.normed μ x ≤ K ^ Module.finrank ℝ E / μ.real (Metric.closedBall c f.rOut)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 262 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- LE.le.transproof · cited by 3,151
- one_mulproof · cited by 2,841
- LT.lt.leproof · cited by 2,189
- FiniteDimensionalstatement and proof · cited by 1,854
- MeasureTheory.integralproof · cited by 1,779
- Module.finrankstatement and proof · cited by 1,770
- BorelSpacestatement and proof · cited by 1,602
Cited by1
Results whose statement or proof uses this declaration.
- ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrableproof · cited by 0