Theorems · Theorem · general topology
UniformSpace.Completion.edist_eq
∀ {α : Type u} [inst : PseudoMetricSpace α] (x y : α), edist ↑x ↑y = edist x y- Defined in
- Mathlib.Topology.MetricSpace.Completion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
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Cites6
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
- EDist.ediststatement · cited by 735
- UniformSpace.Completionstatement · cited by 192
- UniformSpace.Completion.coe'statement · cited by 144
- UniformSpace.Completion.coe_isometryproof · cited by 3
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