Theorems · Theorem · general topology
Metric.cthickening_of_nonpos
∀ {α : Type u} [inst : PseudoEMetricSpace α] {δ : ℝ}, δ ≤ 0 → ∀ (E : Set α), Metric.cthickening δ E = closure E- Defined in
- Mathlib.Topology.MetricSpace.Thickening
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 152 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.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- Set.extproof · cited by 2,266
- PseudoEMetricSpacestatement and proof · cited by 1,536
- closurestatement · cited by 1,254
- Metric.infEDistproof · cited by 147
- Metric.cthickeningstatement · cited by 113
- ENNReal.ofReal_eq_zeroproof · cited by 11
Cited by8
Results whose statement or proof uses this declaration.
- Metric.cthickening_zeroproof · cited by 8
- Metric.closure_subset_cthickeningproof · cited by 4
- Metric.cthickening_max_zeroproof · cited by 2
- blimsup_cthickening_mul_ae_eqproof · cited by 2
- infEDist_cthickeningproof · cited by 2
- tendsto_measure_cthickeningproof · cited by 1
- Metric.closure_eq_iInter_cthickening'proof · cited by 0
- Convex.cthickeningproof · cited by 0