Theorems · Theorem · general topology
Metric.closure_thickening_subset_cthickening
∀ {α : Type u} [inst : PseudoEMetricSpace α] (δ : ℝ) (E : Set α),
closure (Metric.thickening δ E) ⊆ Metric.cthickening δ E- Defined in
- Mathlib.Topology.MetricSpace.Thickening
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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Cites11
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
- LE.le.transproof · cited by 3,151
- PseudoEMetricSpacestatement and proof · cited by 1,536
- closurestatement · cited by 1,254
- closure_monoproof · cited by 133
- Metric.thickeningstatement · cited by 130
- Metric.cthickeningstatement · cited by 113
- Metric.thickening_subset_cthickeningproof · cited by 12
- IsClosed.closure_subsetproof · cited by 11
- Metric.isClosed_cthickeningproof · cited by 5
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