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Theorems · Definition · general topology

UniformSpace.Completion.cPkg

{α : Type u_4} → [inst : UniformSpace α] → AbstractCompletion.{u_4, u_4} α

The Hausdorff completion as an abstract completion.

Defined in
Mathlib.Topology.UniformSpace.Completion
Cited by
23 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpace
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Around this declaration

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

UniformSpace.Completion.map · cited by 23Completion.mapUniformSpace.Completion.extension · cited by 16Completion.extensionUniformSpace.Completion.map_coe · cited by 9Completion.map_coeUniformSpace.Completion.extension_coe · cited by 8Completion.extension_coeUniformSpace.Completion.continuous_coe · cited by 8Completion.continuous_coeUniformSpace.Completion.continuous_map · cited by 5Completion.continuous_mapLaurentSeries.ratfuncAdicComplPkg · cited by 4LaurentSeries.ratfuncAdic…UniformSpace.Completion.uniformContinuous_coe · cited by 4Completion.uniformContinu…UniformSpace.Completion.continuous_extension · cited by 4Completion.continuous_ext…UniformSpace.Completion.mapEquiv · cited by 3Completion.mapEquivUniformSpace.Completion.extension_unique · cited by 3Completion.extension_uniq…UniformSpace.Completion.map₂ · cited by 3Completion.map₂UniformSpace.Completion.ext · cited by 2Completion.extUniformSpace.Completion.extension₂ · cited by 2Completion.extension₂UniformSpace.Completion.map_id · cited by 2Completion.map_idUniformSpace · cited by 2040UniformSpaceUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.coe' · cited by 144Completion.coe'AbstractCompletion · cited by 41AbstractCompletionUniformSpace.Completion.denseRange_coe · cited by 9Completion.denseRange_coeUniformSpace.Completion.isUniformInducing_coe · cited by 2Completion.isUniformInduc…Completion.cPkgCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by31

Results whose statement or proof uses this declaration.