Theorems · Theorem · general topology
indicator_le_thickenedIndicator
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] {δ : ℝ} (δ_pos : 0 < δ) (E : Set α),
(E.indicator fun x => 1) ≤ ⇑(thickenedIndicator δ_pos E)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NNRealstatement · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Set.indicatorstatement · cited by 723
- BoundedContinuousFunctionstatement · cited by 511
- Set.indicator_of_memproof · cited by 161
- Set.indicator_of_notMemproof · cited by 154
- thickenedIndicatorstatement and proof · cited by 23
- thickenedIndicator_oneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_iff_forall_lipschitz_integral_tendstoproof · cited by 1