Theorems · Theorem · general topology
TopologicalSpace.NonemptyCompacts.uniformContinuous_singleton
∀ {α : Type u_1} [inst : UniformSpace α], UniformContinuous fun x => {x}- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 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.
Cites6
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.NonemptyCompactsstatement · cited by 137
- IsUniformEmbedding.toIsUniformInducingproof · cited by 44
- IsUniformInducing.uniformContinuousproof · cited by 35
- TopologicalSpace.NonemptyCompacts.isUniformEmbedding_singletonproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalSpace.NonemptyCompacts.completeSpace_iffproof · cited by 1