Theorems · Theorem · general topology
Metric.coveringNumber_le_packingNumber
∀ {X : Type u_1} [inst : PseudoEMetricSpace X] (ε : NNReal) (A : Set X),
Metric.coveringNumber ε A ≤ Metric.packingNumber ε A- Cited by
- 2 results in Mathlib
- Foundations
- Depth 157 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
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Metric.coveringNumberstatement and proof · cited by 19
- Metric.packingNumberstatement and proof · cited by 14
- Metric.encard_maximalSeparatedSetproof · cited by 3
- Metric.IsCover.coveringNumber_le_encardproof · cited by 3
- Metric.isCover_maximalSeparatedSetproof · cited by 1
- Metric.maximalSeparatedSet_subsetproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Metric.coveringNumber_subset_leproof · cited by 0
- Metric.coveringNumber_two_mul_le_externalCoveringNumberproof · cited by 0