Mathlib Map

Theorems · Definition · general topology

AbstractCompletion.coe

{α : Type u} → [inst : UniformSpace α] → (self : AbstractCompletion.{v, u} α) → α → self.space

A map from a space to its completion.

Defined in
Mathlib.Topology.UniformSpace.AbstractCompletion
Cited by
26 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
UniformSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AbstractCompletion.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.dense · cited by 5AbstractCompletion.denseAbstractCompletion.funext · cited by 5AbstractCompletion.funextAbstractCompletion.extend_def · cited by 4AbstractCompletion.extend…AbstractCompletion.isUniformInducing · cited by 4AbstractCompletion.isUnif…AbstractCompletion.compare_coe · cited by 3AbstractCompletion.compar…LaurentSeries.valuation_compare · cited by 3LaurentSeries.valuation_c…AbstractCompletion.map_coe · cited by 3AbstractCompletion.map_coeAbstractCompletion.map₂ · cited by 3AbstractCompletion.map₂AbstractCompletion.extension₂_coe_coe · cited by 2AbstractCompletion.extens…AbstractCompletion.induction_on · cited by 2AbstractCompletion.induct…UniformSpace · cited by 2040UniformSpaceAbstractCompletion.space · cited by 41AbstractCompletion.spaceAbstractCompletion · cited by 41AbstractCompletionAbstractCompletion.coeCITED BYCITES

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Cited by30

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