Theorems · Theorem · general topology
UniformContinuous.comp_uniformContinuousOn
∀ {α : Type ua} {β : Type ub} {γ : Type uc} [inst : UniformSpace α] [inst_1 : UniformSpace β] [inst_2 : UniformSpace γ]
{f : α → β} {s : Set α} {g : β → γ}, UniformContinuous g → UniformContinuousOn f s → UniformContinuousOn (g ∘ f) s- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- UniformSpacestatement and proof · cited by 2,040
- UniformContinuousstatement and proof · cited by 410
- Set.mapsTo_univproof · cited by 55
- UniformContinuousOnstatement and proof · cited by 47
- UniformContinuous.uniformContinuousOnproof · cited by 3
- UniformContinuousOn.compproof · cited by 2
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