Theorems · Theorem · general topology
Metric.externalCoveringNumber_zero
∀ {E : Type u_3} [inst : EMetricSpace E] (A : Set E), Metric.externalCoveringNumber 0 A = A.encard- Cited by
- 1 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 · cited by 4,310
- le_antisymmproof · cited by 2,068
- Set.encardstatement · cited by 327
- EMetricSpacestatement and proof · cited by 242
- le_iInfproof · cited by 102
- Metric.IsCoverproof · cited by 51
- Metric.externalCoveringNumberstatement · cited by 14
- Set.encard_le_encardproof · cited by 10
- Metric.isCover_zeroproof · cited by 1
- Metric.externalCoveringNumber_le_encard_selfproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Metric.coveringNumber_zeroproof · cited by 0