Theorems · Theorem · general topology
WeakPseudoEMetricSpace.edist_self
∀ {α : Type u} {τ : TopologicalSpace α} [self : WeakPseudoEMetricSpace α] (x : α), edist x x = 0- Defined in
- Mathlib.Topology.EMetricSpace.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- WeakPseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement · cited by 9,879
- EDist.ediststatement · cited by 735
- WeakPseudoEMetricSpacestatement and proof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- WeakPseudoEMetricSpace.topology_lestatement · cited by 0
- Option.edist_self'proof · cited by 0