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Theorems · Theorem · general topology

UniformSpace.Completion.uniformContinuous_extension

∀ {α : Type u_1} [inst : UniformSpace α] {β : Type u_2} [inst_1 : UniformSpace β] {f : α → β} [CompleteSpace β],
  UniformContinuous (UniformSpace.Completion.extension f)
Defined in
Mathlib.Topology.UniformSpace.Completion
Cited by
1 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceUniformSpaceCompleteSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

UniformSpace.Completion.uniformContinuous_completionSeparationQuotientEquiv · cited by 0Completion.uniformContinu…CompleteSpace · cited by 2532CompleteSpaceUniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.cPkg · cited by 23Completion.cPkgUniformSpace.Completion.extension · cited by 16Completion.extensionAbstractCompletion.uniformContinuous_extend · cited by 5AbstractCompletion.unifor…Completion.uniformContinuous_…CITED BYCITES

Cites7

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Cited by1

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