Theorems · Theorem · general topology
PseudoMetricSpace.edist_dist
∀ {α : Type u} [self : PseudoMetricSpace α] (x y : α), PseudoMetricSpace.edist x y = ENNReal.ofReal (dist x y)- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 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.
Cites5
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
- Dist.diststatement · cited by 1,539
- ENNReal.ofRealstatement · cited by 863
- PseudoMetricSpace.ediststatement · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- edist_distproof · cited by 39
- PseudoMetricSpace.replaceBornologyproof · cited by 1
- PseudoMetricSpace.replaceUniformityproof · cited by 1
- PiLp.iSup_edist_ne_top_auxproof · cited by 0
- WithLp.prod_sup_edist_ne_top_auxproof · cited by 0