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Theorems · Theorem · general topology

UniformContinuous.sup_closeds

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : UniformSpace β]
  {f g : α → TopologicalSpace.Closeds β},
  UniformContinuous f → UniformContinuous g → UniformContinuous fun x => f x ⊔ g x
Defined in
Mathlib.Topology.UniformSpace.Closeds
Cited by
0 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceUniformSpace
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Around this declaration

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UniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousTopologicalSpace.Closeds · cited by 168TopologicalSpace.ClosedsUniformContinuous.comp · cited by 60UniformContinuous.compUniformContinuous.prodMk · cited by 18UniformContinuous.prodMkTopologicalSpace.Closeds.uniformContinuous_sup · cited by 1Closeds.uniformContinuous…UniformContinuous.sup_closedsCITED BYCITES

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