Theorems · Theorem · global analysis
ContDiffBump.support_normed_eq
∀ {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.IsOpenPosMeasure],
Function.support (f.normed μ) = Metric.ball c f.rOut- Cited by
- 5 results in Mathlib
- Foundations
- Depth 258 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- 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
- FiniteDimensionalstatement and proof · cited by 1,854
- MeasureTheory.integralproof · cited by 1,779
- BorelSpacestatement and proof · cited by 1,602
- LT.lt.ne'proof · cited by 1,417
- Metric.ballstatement and proof · cited by 735
- Function.supportstatement and proof · cited by 610
Cited by5
Results whose statement or proof uses this declaration.
- ContDiffBump.tendsto_support_normed_smallSetsproof · cited by 1
- ContDiffBump.tsupport_normed_eqproof · cited by 1
- ContDiffBump.dist_normed_convolution_leproof · cited by 1
- ContDiffBump.normed_convolution_eq_rightproof · cited by 0
- ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrableproof · cited by 0