Theorems · Theorem · general topology
TopologicalSpace.Closeds.uniformContinuous_sup
∀ {α : Type u_1} [inst : UniformSpace α], UniformContinuous fun x => x.1 ⊔ x.2- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 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.
Cites10
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
- UniformContinuousstatement · cited by 410
- TopologicalSpace.Closedsstatement · cited by 168
- UniformContinuous.compproof · cited by 60
- IsUniformEmbedding.toIsUniformInducingproof · cited by 44
- IsUniformInducing.uniformContinuous_iffproof · cited by 17
- UniformContinuous.prodMapproof · cited by 17
- TopologicalSpace.Closeds.isUniformEmbedding_coeproof · cited by 6
- TopologicalSpace.Closeds.uniformContinuous_coeproof · cited by 5
- UniformSpace.hausdorff.uniformContinuous_unionproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- UniformContinuous.sup_closedsproof · cited by 0