Theorems · Theorem · general topology
TopologicalSpace.Closeds.uniformContinuous_coe
∀ {α : Type u_1} [inst : UniformSpace α], UniformContinuous SetLike.coe- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- UniformSpacestatement and proof · cited by 2,040
- UniformContinuousstatement · cited by 410
- TopologicalSpace.Closedsstatement · cited by 168
- IsUniformEmbedding.toIsUniformInducingproof · cited by 44
- IsUniformInducing.uniformContinuousproof · cited by 35
- UniformSpace.hausdorffstatement · cited by 33
- TopologicalSpace.Closeds.isUniformEmbedding_coeproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- TopologicalSpace.Closeds.uniformContinuous_prodproof · cited by 2
- TopologicalSpace.Closeds.isClosed_setOfPred_totallyBoundedproof · cited by 2
- TopologicalSpace.Closeds.isClopen_singleton_botproof · cited by 1
- TopologicalSpace.Closeds.uniformContinuous_supproof · cited by 1
- TopologicalSpace.Closeds.isClosedEmbedding_singletonproof · cited by 0