Theorems · Theorem · general topology
UniformSpace.ext
∀ {α : Type ua} {u₁ u₂ : UniformSpace α}, uniformity α = uniformity α → u₁ = u₂- Defined in
- Mathlib.Topology.UniformSpace.Defs
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpaceproof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- UniformSpacestatement and proof · cited by 2,040
- uniformitystatement and proof · cited by 765
- Filter.comapproof · cited by 546
- SetRel.compproof · cited by 136
- Filter.lift'proof · cited by 99
- TopologicalSpace.ext_nhdsproof · cited by 10
- UniformSpace.uniformityproof · cited by 5
Cited by34
Results whose statement or proof uses this declaration.
- UniformSpace.comap_iInfproof · cited by 9
- UniformFun.iInf_eqproof · cited by 6
- PseudoMetricSpace.extproof · cited by 6
- Pi.uniformSpace_eqproof · cited by 5
- UniformSpace.replaceTopology_eqproof · cited by 4
- UniformOnFun.postcomp_isUniformInducingproof · cited by 4
- PseudoEMetricSpace.extproof · cited by 3
- IndiscreteTopology.eq_top_uniformSpaceproof · cited by 2
- UniformSpace.comap_infproof · cited by 2
- UniformSpace.ext_iffproof · cited by 2
- IsUniformAddGroup.extproof · cited by 2
- Valuation.toUniformSpace_eqproof · cited by 2