Mathlib Map

Theorems · Definition · general topology

UniformSpace.Completion.map

{α : Type u_1} →
  [inst : UniformSpace α] →
    {β : Type u_2} → [inst_1 : UniformSpace β] → (α → β) → UniformSpace.Completion α → UniformSpace.Completion β

Completion functor acting on morphisms

Defined in
Mathlib.Topology.UniformSpace.Completion
Cited by
23 results in Mathlib
Foundations
Depth 94 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_coe · cited by 9Completion.map_coeUniformSpace.Completion.continuous_map · cited by 5Completion.continuous_mapUniformSpaceCat.completionFunctor · cited by 4UniformSpaceCat.completio…NormedAddGroupHom.completion_coe' · cited by 4NormedAddGroupHom.complet…UniformSpace.Completion.map_comp · cited by 2Completion.map_compUniformSpace.Completion.map_id · cited by 2Completion.map_idNormedAddGroupHom.completion_def · cited by 2NormedAddGroupHom.complet…UniformSpace.Completion.completionSeparationQuotientEquiv · cited by 2Completion.completionSepa…UniformSpace.Completion.mapRingHom_apply · cited by 1Completion.mapRingHom_app…UniformSpace.Completion.extension_map · cited by 1Completion.extension_mapNormedAddGroupHom.completion_coe_to_fun · cited by 1NormedAddGroupHom.complet…UniformSpace.Completion.uniformContinuous_map · cited by 1Completion.uniformContinu…UniformSpace.Completion.mapRingEquiv_apply · cited by 0Completion.mapRingEquiv_a…UniformSpace.Completion.mapRingEquiv_symm_apply · cited by 0Completion.mapRingEquiv_s…UniformSpace.Completion.map_smul_eq_mul_coe · cited by 0Completion.map_smul_eq_mu…UniformSpace · cited by 2040UniformSpaceUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.cPkg · cited by 23Completion.cPkgAbstractCompletion.map · cited by 7AbstractCompletion.mapCompletion.mapCITED BYCITES

Cites4

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

Cited by25

Results whose statement or proof uses this declaration.