Theorems · Theorem · general topology
thickenedIndicator_le_one
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] {δ : ℝ} (δ_pos : 0 < δ) (E : Set α) (x : α),
(thickenedIndicator δ_pos E) x ≤ 1- Cited by
- 5 results in Mathlib
- Foundations
- Depth 155 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- BoundedContinuousFunctionstatement · cited by 511
- ENNReal.one_ne_topproof · cited by 65
- ne_top_of_ltproof · cited by 50
- thickenedIndicatorstatement · cited by 23
- thickenedIndicatorAux_lt_topproof · cited by 6
- ENNReal.toNNReal_le_toNNRealproof · cited by 4
- thickenedIndicatorAux_le_oneproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.integrable_thickenedIndicatorproof · cited by 2
- MeasureTheory.tendsto_iff_forall_lipschitz_integral_tendstoproof · cited by 1
- MeasureTheory.tendsto_lintegral_thickenedIndicator_of_isClosedproof · cited by 1