Theorems · Theorem · general topology
uniformContinuous_id
∀ {α : Type ua} [inst : UniformSpace α], UniformContinuous id- Defined in
- Mathlib.Topology.UniformSpace.Defs
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Filter.tendsto_idproof · cited by 180
Cited by52
Results whose statement or proof uses this declaration.
- uniformContinuous_negproof · cited by 10
- uniformContinuous_invproof · cited by 9
- UniformEquiv.reflproof · cited by 5
- uniformContinuous_sInf_dom₂proof · cited by 2
- Pi.uniformContinuous_projproof · cited by 2
- FiniteDimensional.of_totallyBounded_nhdsproof · cited by 1
- CauchySeq.add_constproof · cited by 1
- AbstractCompletion.map_idproof · cited by 1
- LinearMap.tendsto_birkhoffAverage_of_ker_subset_closureproof · cited by 1
- uniformContinuous_div_const'proof · cited by 1
- uniformity_translate_addproof · cited by 1
- uniformity_translate_mulproof · cited by 1