Mathlib Map

Theorems · Definition · general topology

AbstractCompletion.map

{α : Type uα} →
  [inst : UniformSpace α] →
    (pkg : AbstractCompletion.{vα, uα} α) →
      {β : Type uβ} →
        [inst_1 : UniformSpace β] → (pkg' : AbstractCompletion.{vβ, uβ} β) → (α → β) → pkg.space → pkg'.space

Lifting maps to completions

Defined in
Mathlib.Topology.UniformSpace.AbstractCompletion
Cited by
7 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceUniformSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

UniformSpace.Completion.map · cited by 23Completion.mapAbstractCompletion.map_coe · cited by 3AbstractCompletion.map_coeAbstractCompletion.continuous_map · cited by 3AbstractCompletion.contin…AbstractCompletion.mapEquiv · cited by 2AbstractCompletion.mapEqu…AbstractCompletion.map_unique · cited by 2AbstractCompletion.map_un…AbstractCompletion.map_id · cited by 1AbstractCompletion.map_idAbstractCompletion.extend_map · cited by 1AbstractCompletion.extend…AbstractCompletion.uniformContinuous_map · cited by 1AbstractCompletion.unifor…AbstractCompletion.map_comp · cited by 0AbstractCompletion.map_co…UniformSpace · cited by 2040UniformSpaceAbstractCompletion.space · cited by 41AbstractCompletion.spaceAbstractCompletion · cited by 41AbstractCompletionAbstractCompletion.coe · cited by 26AbstractCompletion.coeAbstractCompletion.extend · cited by 12AbstractCompletion.extendAbstractCompletion.mapCITED BYCITES

Cites5

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

Cited by9

Results whose statement or proof uses this declaration.