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Theorems · Theorem · general topology

UniformContinuous.prod_compacts

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : UniformSpace α] [inst_1 : UniformSpace β]
  [inst_2 : UniformSpace γ] {f : α → TopologicalSpace.Compacts β} {g : α → TopologicalSpace.Compacts γ},
  UniformContinuous f → UniformContinuous g → UniformContinuous fun x => f x ×ˢ g x
Defined in
Mathlib.Topology.UniformSpace.Closeds
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0 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceUniformSpaceUniformSpace
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UniformSpace · cited by 2040UniformSpaceSProd.sprod · cited by 1750SProd.sprodUniformContinuous · cited by 410UniformContinuousTopologicalSpace.Compacts · cited by 386TopologicalSpace.CompactsUniformContinuous.comp · cited by 60UniformContinuous.compUniformContinuous.prodMk · cited by 18UniformContinuous.prodMkTopologicalSpace.Compacts.uniformContinuous_prod · cited by 1Compacts.uniformContinuou…UniformContinuous.prod_compac…CITED BYCITES

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