Theorems · Theorem · general topology
edist_congr
∀ {α : Type u} [inst : PseudoEMetricSpace α] {w x y z : α}, edist w x = 0 → edist y z = 0 → edist w y = edist x z- Defined in
- Mathlib.Topology.EMetricSpace.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement and proof · cited by 735
- edist_congr_rightproof · cited by 3
- edist_congr_leftproof · cited by 2
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