Theorems · Definition · general topology
Metric.hausdorffEDist
{α : Type u_2} → [PseudoEMetricSpace α] → Set α → Set α → ENNRealThe Hausdorff edistance between two sets is the smallest r such that each set
is contained in the r-neighborhood of the other one
- Cited by
- 76 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENNRealstatement · cited by 9,879
- PseudoEMetricSpacestatement · cited by 1,536
Cited by78
Results whose statement or proof uses this declaration.
- Metric.hausdorffDistproof · cited by 30
- Metric.hausdorffEDist_defstatement · cited by 13
- Metric.hausdorffEDist_commstatement · cited by 11
- Metric.hausdorffEDist_closure_leftstatement and proof · cited by 5
- Metric.hausdorffEDist_singletonstatement · cited by 5
- Metric.infEDist_le_hausdorffEDist_of_memstatement · cited by 5
- Metric.hausdorffEDist_closure_rightstatement and proof · cited by 4
- Metric.hausdorffEDist_ne_top_of_nonempty_of_boundedstatement and proof · cited by 4
- Metric.hausdorffEDist_prod_lestatement and proof · cited by 4
- Metric.hausdorffEDist_union_lestatement and proof · cited by 4
- Metric.infEDist_le_infEDist_add_hausdorffEDiststatement and proof · cited by 4
- Metric.nonempty_of_hausdorffEDist_ne_topstatement and proof · cited by 3