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Theorems · Theorem · functional analysis

NormedAddGroupHom.completion_def

∀ {G : Type u_1} [inst : SeminormedAddCommGroup G] {H : Type u_2} [inst_1 : SeminormedAddCommGroup H]
  (f : NormedAddGroupHom G H) (x : UniformSpace.Completion G), f.completion x = UniformSpace.Completion.map (⇑f) x
Defined in
Mathlib.Analysis.Normed.Group.HomCompletion
Cited by
2 results in Mathlib
Foundations
Depth 165 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.completion_comp · cited by 0NormedAddGroupHom.complet…NormedAddGroupHom.completion_id · cited by 0NormedAddGroupHom.complet…DFunLike.coe · cited by 62936DFunLike.coeSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedAddGroupHom · cited by 216NormedAddGroupHomUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.map · cited by 23Completion.mapNormedAddGroupHom.completion · cited by 15NormedAddGroupHom.complet…NormedAddGroupHom.completion_…CITED BYCITES

Cites6

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Cited by2

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