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Theorems · Theorem · general topology

UniformEquicontinuous.comp

∀ {ι : Type u_1} {κ : Type u_2} {α : Type u_6} {β : Type u_8} [uα : UniformSpace α] [uβ : UniformSpace β]
  {F : ι → β → α}, UniformEquicontinuous F → ∀ (u : κ → ι), UniformEquicontinuous (F ∘ u)

Taking sub-families preserves uniform equicontinuity.

Defined in
Mathlib.Topology.UniformSpace.Equicontinuity
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
UniformSpaceUniformSpace
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Around this declaration

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Set.UniformEquicontinuous.mono · cited by 0UniformEquicontinuous.monouniformEquicontinuous_iff_range · cited by 0uniformEquicontinuous_iff…Set · cited by 53352SetUniformSpace · cited by 2040UniformSpaceuniformity · cited by 765uniformityFilter.Eventually.mono · cited by 646Eventually.monoUniformEquicontinuous · cited by 35UniformEquicontinuousUniformEquicontinuous.compCITED BYCITES

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Cited by2

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