Theorems · Definition · general topology
UniformSpace.Core.toTopologicalSpace
{α : Type u} → UniformSpace.Core α → TopologicalSpace αA uniform space generates a topological space
- Defined in
- Mathlib.Topology.UniformSpace.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 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.
- TopologicalSpacestatement · cited by 24,529
- Filter.comapproof · cited by 546
- UniformSpace.Corestatement and proof · cited by 10
- UniformSpace.Core.uniformityproof · cited by 8
- TopologicalSpace.mkOfNhdsproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- UniformSpace.ofCoreproof · cited by 1
- UniformSpace.ofCoreEqstatement and proof · cited by 1
- UniformSpace.Core.nhds_toTopologicalSpacestatement · cited by 1
- UniformSpace.toCore_toTopologicalSpacestatement · cited by 0
- UniformSpace.ofCoreEq_toCorestatement and proof · cited by 0