Theorems · Theorem · general topology
Metric.coveringNumber_empty
∀ {X : Type u_1} [inst : PseudoEMetricSpace X] (ε : NNReal), Metric.coveringNumber ε ∅ = 0- Cited by
- 1 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.
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
- ENatstatement · cited by 4,985
- NNRealstatement and proof · cited by 4,310
- iInfproof · cited by 1,690
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Set.encardproof · cited by 327
- iInf_congr_Propproof · cited by 218
- iInf_posproof · cited by 31
- Metric.coveringNumberstatement · cited by 19
- Set.encard_emptyproof · cited by 17
- iInf_iInf_eq_leftproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Metric.coveringNumber_two_mul_le_externalCoveringNumberproof · cited by 0