Mathlib Map

Theorems · Definition · functional analysis

normedAddGroupHomCompletionHom

{G : Type u_1} →
  [inst : SeminormedAddCommGroup G] →
    {H : Type u_2} →
      [inst_1 : SeminormedAddCommGroup H] →
        NormedAddGroupHom G H →+ NormedAddGroupHom (UniformSpace.Completion G) (UniformSpace.Completion H)

Completion of normed group homs as a normed group hom.

Defined in
Mathlib.Analysis.Normed.Group.HomCompletion
Cited by
5 results in Mathlib
Foundations
Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupSeminormedAddCommGroup
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Around this declaration

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

NormedAddGroupHom.zero_completion · cited by 0NormedAddGroupHom.zero_co…NormedAddGroupHom.completion_add · cited by 0NormedAddGroupHom.complet…NormedAddGroupHom.completion_neg · cited by 0NormedAddGroupHom.complet…normedAddGroupHomCompletionHom_apply · cited by 0normedAddGroupHomCompleti…NormedAddGroupHom.completion_sub · cited by 0NormedAddGroupHom.complet…AddMonoidHom · cited by 3230AddMonoidHomSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedAddGroupHom · cited by 216NormedAddGroupHomUniformSpace.Completion · cited by 192UniformSpace.CompletionNormedAddGroupHom.completion · cited by 15NormedAddGroupHom.complet…normedAddGroupHomCompletionHomCITED BYCITES

Cites5

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Cited by5

Results whose statement or proof uses this declaration.