Mathlib Map

Theorems · Definition · general topology

UniformSpace.uniformity

{α : Type u} → [self : UniformSpace α] → Filter (α × α)

The uniformity filter.

Defined in
Mathlib.Topology.UniformSpace.Defs
Cited by
5 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
UniformSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

uniformity · cited by 765uniformityUniformSpace.ext · cited by 34UniformSpace.extUniformSpace.toCore · cited by 3UniformSpace.toCoreUniformSpace.nhds_eq_comap_uniformity · cited by 3UniformSpace.nhds_eq_coma…UniformSpace.replaceTopology · cited by 2UniformSpace.replaceTopol…UniformSpace.symm · cited by 1UniformSpace.symmUniformSpace.comp · cited by 1UniformSpace.compUniformSpace.toCore_toTopologicalSpace · cited by 0UniformSpace.toCore_toTop…UniformSpace.ofFunOfHasBasis · cited by 0UniformSpace.ofFunOfHasBa…Filter · cited by 8121FilterUniformSpace · cited by 2040UniformSpaceUniformSpace.uniformityCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by9

Results whose statement or proof uses this declaration.