Mathlib Map

Theorems · Definition · general topology

AbstractCompletion.space

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

The underlying space of the completion.

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

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

AbstractCompletion.uniformStruct · cited by 30AbstractCompletion.unifor…AbstractCompletion.coe · cited by 26AbstractCompletion.coeAbstractCompletion.extend · cited by 12AbstractCompletion.extendAbstractCompletion.compare · cited by 8AbstractCompletion.compareAbstractCompletion.extend_coe · cited by 8AbstractCompletion.extend…AbstractCompletion.uniformContinuous_coe · cited by 8AbstractCompletion.unifor…AbstractCompletion.isDenseInducing · cited by 7AbstractCompletion.isDens…AbstractCompletion.map · cited by 7AbstractCompletion.mapAbstractCompletion.continuous_extend · cited by 5AbstractCompletion.contin…AbstractCompletion.dense · cited by 5AbstractCompletion.denseAbstractCompletion.funext · cited by 5AbstractCompletion.funextAbstractCompletion.uniformContinuous_extend · cited by 5AbstractCompletion.unifor…AbstractCompletion.extend_def · cited by 4AbstractCompletion.extend…AbstractCompletion.isUniformInducing · cited by 4AbstractCompletion.isUnif…AbstractCompletion.uniformContinuous_compare · cited by 4AbstractCompletion.unifor…UniformSpace · cited by 2040UniformSpaceAbstractCompletion · cited by 41AbstractCompletionAbstractCompletion.spaceCITED BYCITES

Cites2

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Cited by51

Results whose statement or proof uses this declaration.