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Theorems · Theorem · general topology

SeparationQuotient.map_comp

∀ {α : Type u} {β : Type v} {γ : Type w} [inst : UniformSpace α] [inst_1 : UniformSpace β] [inst_2 : UniformSpace γ]
  {f : α → β} {g : β → γ},
  UniformContinuous f →
    UniformContinuous g → SeparationQuotient.map g ∘ SeparationQuotient.map f = SeparationQuotient.map (g ∘ f)
Defined in
Mathlib.Topology.UniformSpace.Separation
Cited by
0 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceUniformSpaceUniformSpace
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Around this declaration

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UniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousSeparationQuotient · cited by 128SeparationQuotientSeparationQuotient.mk · cited by 94SeparationQuotient.mkUniformContinuous.comp · cited by 60UniformContinuous.compSeparationQuotient.map · cited by 5SeparationQuotient.mapSeparationQuotient.map_mk · cited by 2SeparationQuotient.map_mkSeparationQuotient.map_unique · cited by 2SeparationQuotient.map_un…SeparationQuotient.map_compCITED BYCITES

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