Theorems · Definition · general topology
Set.einfsep
{α : Type u_1} → [EDist α] → Set α → ENNRealThe "extended infimum separation" of a set with an edist function.
- Defined in
- Mathlib.Topology.MetricSpace.Infsep
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EDist
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- ENNRealstatement · cited by 9,879
- iInfproof · cited by 1,690
- EDist.edistproof · cited by 735
- EDiststatement and proof · cited by 91
Cited by48
Results whose statement or proof uses this declaration.
- Set.infsepproof · cited by 35
- Set.einfsep_le_edist_of_memstatement · cited by 5
- Set.Subsingleton.einfsepstatement · cited by 5
- Set.Nontrivial.einfsep_ne_topstatement and proof · cited by 4
- Set.einfsep_pos_of_finitestatement and proof · cited by 4
- Set.le_einfsepstatement · cited by 3
- Set.le_einfsep_iffstatement · cited by 3
- Set.Nontrivial.einfsep_exists_of_finitestatement · cited by 2
- Set.infsep_pos_iff_nontrivial_of_finiteproof · cited by 2
- Set.infsep_zerostatement and proof · cited by 2
- Set.infsep_zero_iff_subsingleton_of_finiteproof · cited by 2
- Set.einfsep_antistatement · cited by 2