Theorems · Definition · general topology
PseudoMetricSpace.edist
{α : Type u} → [self : PseudoMetricSpace α] → α → α → ENNRealExtended distance between two points
- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- PseudoMetricSpacestatement and proof · cited by 1,550
Cited by5
Results whose statement or proof uses this declaration.
- PseudoMetricSpace.edist_diststatement · cited by 3
- PseudoMetricSpace.replaceBornologyproof · cited by 1
- PseudoMetricSpace.inducedproof · cited by 1
- PseudoMetricSpace.replaceDistproof · cited by 1
- PseudoMetricSpace.replaceUniformityproof · cited by 1