Theorems · Theorem · general topology
uniformSpace_edist
∀ {α : Type u} [inst : PseudoEMetricSpace α], PseudoEMetricSpace.toUniformSpace = uniformSpaceOfEDist edist ⋯ ⋯ ⋯- Defined in
- Mathlib.Topology.EMetricSpace.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement · cited by 2,040
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement · cited by 735
- PseudoEMetricSpace.edist_commstatement · cited by 52
- PseudoEMetricSpace.edist_selfstatement · cited by 50
- UniformSpace.extproof · cited by 34
- PseudoEMetricSpace.edist_trianglestatement · cited by 24
- uniformSpaceOfEDiststatement · cited by 3
- uniformity_pseudoedistproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- uniformity_basis_edistproof · cited by 17