Theorems · Theorem · general topology
uniformContinuous_snd
∀ {α : Type ua} {β : Type ub} [inst : UniformSpace α] [inst_1 : UniformSpace β], UniformContinuous fun p => p.2- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
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
- tendsto_prod_uniformity_sndproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- UniformContinuous.prodMapproof · cited by 17
- uniformContinuous_addproof · cited by 9
- uniformContinuous_mulproof · cited by 8
- Unitization.uniformContinuous_sndproof · cited by 1
- IsUniformAddGroup.mk'proof · cited by 0
- IsUniformGroup.mk'proof · cited by 0
- TrivSqZeroExt.uniformContinuous_sndproof · cited by 0
- uniformContinuous_swapproof · cited by 0