Theorems · Theorem · general topology
Metric.coveringNumber_anti
∀ {X : Type u_1} [inst : PseudoEMetricSpace X] {A : Set X} {ε δ : NNReal},
ε ≤ δ → Metric.coveringNumber δ A ≤ Metric.coveringNumber ε A- Cited by
- 0 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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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
- ENatstatement · cited by 4,985
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Metric.IsCoverproof · cited by 51
- iInf_monoproof · cited by 29
- Metric.coveringNumberstatement · cited by 19
- iInf_const_monoproof · cited by 3
- Metric.IsCover.mono_radiusproof · cited by 2
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