Theorems · Theorem · general topology
thickenedIndicatorAux_zero
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] {δ : ℝ},
0 < δ → ∀ (E : Set α) {x : α}, x ∉ Metric.thickening δ E → thickenedIndicatorAux δ E x = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 150 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.
Cites21
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
- ENNRealstatement and proof · cited by 9,879
- le_antisymmproof · cited by 2,068
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ENNReal.ofRealproof · cited by 863
- ne_of_gtproof · cited by 637
- Eq.leproof · cited by 605
- bot_leproof · cited by 306
- not_ltproof · cited by 306
- tsub_selfproof · cited by 154
- Metric.infEDistproof · cited by 147
Cited by4
Results whose statement or proof uses this declaration.
- thickenedIndicator_zeroproof · cited by 2
- thickenedIndicatorAux_tendsto_indicator_closureproof · cited by 1