Theorems · Definition · general topology
Metric.maximalSeparatedSet
{X : Type u_1} → [PseudoEMetricSpace X] → NNReal → Set X → Set XA finite ε-separated subset of a set A with maximal cardinality.
It is defined as the empty set if no such finite subset exists.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 151 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
- Top.topproof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Metric.packingNumberproof · cited by 14
- Metric.exists_set_encard_eq_packingNumberproof · cited by 0
Cited by5
Results whose statement or proof uses this declaration.
- Metric.encard_maximalSeparatedSetstatement · cited by 3
- Metric.isCover_maximalSeparatedSetstatement and proof · cited by 1
- Metric.encard_le_of_isSeparatedstatement · cited by 1
- Metric.isSeparated_maximalSeparatedSetstatement · cited by 1
- Metric.maximalSeparatedSet_subsetstatement · cited by 1