Theorems · Theorem · general topology
TopologicalSpace.Compacts.uniformContinuous_toCloseds
∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : T2Space α], UniformContinuous TopologicalSpace.Compacts.toCloseds- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceT2Space
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- T2Spacestatement and proof · cited by 1,351
- UniformContinuousstatement · cited by 410
- TopologicalSpace.Compactsstatement · cited by 386
- TopologicalSpace.Closedsstatement · cited by 168
- IsUniformEmbedding.toIsUniformInducingproof · cited by 44
- IsUniformInducing.uniformContinuousproof · cited by 35
- TopologicalSpace.Compacts.toClosedsstatement · cited by 12
- TopologicalSpace.Compacts.isUniformEmbedding_toClosedsproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalSpace.Compacts.continuous_toClosedsproof · cited by 0