Theorems · Theorem · general topology
thickenedIndicator_apply
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] {δ : ℝ} (δ_pos : 0 < δ) (E : Set α) (x : α),
(thickenedIndicator δ_pos E) x = (thickenedIndicatorAux δ E x).toNNReal- Cited by
- 9 results in Mathlib
- Foundations
- Depth 154 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.
Cites9
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
- BoundedContinuousFunctionstatement · cited by 511
- ENNReal.toNNRealstatement · cited by 165
- thickenedIndicatorstatement and proof · cited by 23
- thickenedIndicatorAuxstatement · cited by 21
Cited by9
Results whose statement or proof uses this declaration.
- thickenedIndicator_one_of_mem_closureproof · cited by 2
- thickenedIndicator_zeroproof · cited by 2
- MeasureTheory.integrable_thickenedIndicatorproof · cited by 2
- thickenedIndicator_mono_infEDistproof · cited by 1
- MeasureTheory.tendsto_integral_thickenedIndicator_of_isClosedproof · cited by 1
- MeasureTheory.tendsto_iff_forall_lipschitz_integral_tendstoproof · cited by 1
- lipschitzWith_thickenedIndicatorproof · cited by 1