Theorems · Theorem · general topology
uniformContinuous_iInf_dom
∀ {α : Type ua} {β : Type ub} {ι : Sort u_1} {f : α → β} {u₁ : ι → UniformSpace α} {u₂ : UniformSpace β} {i : ι},
UniformContinuous f → UniformContinuous f- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterproof · cited by 8,121
- Filter.Tendstoproof · cited by 3,814
- UniformSpacestatement and proof · cited by 2,040
- iInfstatement · cited by 1,690
- uniformityproof · cited by 765
- UniformContinuousstatement and proof · cited by 410
- iInf_uniformityproof · cited by 19
- Filter.tendsto_iInf'proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- uniformEquicontinuous_iInf_domproof · cited by 0