Theorems · Definition · general topology
UniformSpace.Core.uniformity
{α : Type u} → UniformSpace.Core α → Filter (α × α)The uniformity filter. Once UniformSpace is defined, 𝓤 α (_root_.uniformity) becomes the
normal form.
- Defined in
- Mathlib.Topology.UniformSpace.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- UniformSpace.Corestatement and proof · cited by 10
Cited by10
Results whose statement or proof uses this declaration.
- UniformSpace.Core.toTopologicalSpaceproof · cited by 3
- UniformSpace.Core.reflstatement · cited by 2
- UniformSpace.Core.compstatement · cited by 1
- UniformSpace.Core.comp_mem_uniformity_setsstatement and proof · cited by 1
- UniformSpace.ofCoreEqproof · cited by 1
- UniformSpace.Core.nhds_toTopologicalSpacestatement and proof · cited by 1
- UniformSpace.Core.symmstatement · cited by 0
- UniformSpace.toCore_toTopologicalSpaceproof · cited by 0
- UniformSpace.mem_uniformity_ofCore_iffstatement · cited by 0
- UniformSpace.Core.extstatement and proof · cited by 0