Theorems · Theorem · general topology
Metric.externalCoveringNumber_eq_zero
∀ {X : Type u_1} [inst : PseudoEMetricSpace X] {A : Set X} {ε : NNReal}, Metric.externalCoveringNumber ε A = 0 ↔ A = ∅- 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.
Cites6
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
- Metric.externalCoveringNumberstatement · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Metric.externalCoveringNumber_le_one_of_ediam_leproof · cited by 0