Theorems · Definition · global analysis
ContDiffBump.normed
{E : Type u_1} →
[inst : NormedAddCommGroup E] →
[inst_1 : NormedSpace ℝ E] →
[HasContDiffBump E] → [inst : MeasurableSpace E] → {c : E} → ContDiffBump c → MeasureTheory.Measure E → E → ℝA bump function normed so that ∫ x, f.normed μ x ∂μ = 1.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 250 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MeasureTheory.integralproof · cited by 1,779
- ContDiffBumpstatement and proof · cited by 61
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.toFunproof · cited by 43
Cited by22
Results whose statement or proof uses this declaration.
- ContDiffBump.support_normed_eqstatement · cited by 5
- ContDiffBump.integral_normedstatement · cited by 4
- ContDiffBump.nonneg_normedstatement · cited by 3
- ContDiffBump.normed_defstatement · cited by 3
- ContDiffBump.tendsto_support_normed_smallSetsstatement · cited by 1
- ContDiffBump.tsupport_normed_eqstatement and proof · cited by 1
- ContDiffBump.contDiff_normedstatement · cited by 1
- ContDiffBump.convolution_tendsto_rightstatement · cited by 1
- ContDiffBump.dist_normed_convolution_lestatement · cited by 1
- ContDiffBump.hasCompactSupport_normedstatement · cited by 1
- ContDiffBump.normed.congr_simpstatement and proof · cited by 1