Theorems · Theorem · general topology
Set.einfsep_pair
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] {x y : α}, x ≠ y → {x, y}.einfsep = edist x y- Defined in
- Mathlib.Topology.MetricSpace.Infsep
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 147 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement and proof · cited by 735
- PseudoEMetricSpace.edist_commproof · cited by 52
- Set.einfsepstatement and proof · cited by 47
- min_selfproof · cited by 27
- Set.einfsep_pair_eq_infproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.infsep_pair_eq_toRealproof · cited by 1