Theorems · Theorem · general topology
iInf_uniformity
∀ {α : Type ua} {ι : Sort u_2} {u : ι → UniformSpace α}, uniformity α = ⨅ i, uniformity α- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- UniformSpacestatement and proof · cited by 2,040
- iInfstatement · cited by 1,690
- uniformitystatement · cited by 765
- iInf_rangeproof · cited by 27
Cited by19
Results whose statement or proof uses this declaration.
- UniformSpace.comap_iInfproof · cited by 9
- UniformFun.iInf_eqproof · cited by 6
- UniformSpace.toTopologicalSpace_iInfproof · cited by 6
- Pi.uniformityproof · cited by 6
- UniformOnFun.hasBasis_uniformity_of_basisproof · cited by 4
- uniformContinuous_sInf_rngproof · cited by 2
- UniformOnFun.uniformity_eq_of_basisproof · cited by 2
- UniformFun.uniformSpace_eq_iInf_precomp_of_coverproof · cited by 1
- uniformContinuous_sInf_domproof · cited by 1
- CompletePseudometrizable.iInfproof · cited by 1
- UniformOnFun.uniformContinuous_restrictproof · cited by 1
- uniformContinuous_iInf_domproof · cited by 1