Theorems · Theorem · functional analysis

NormedAddGroupHom.completion_comp

∀ {G : Type u_1} [inst : SeminormedAddCommGroup G] {H : Type u_2} [inst_1 : SeminormedAddCommGroup H] {K : Type u_3}
  [inst_2 : SeminormedAddCommGroup K] (f : NormedAddGroupHom G H) (g : NormedAddGroupHom H K),
  g.completion.comp f.completion = (g.comp f).completion

Defined in

Mathlib.Analysis.Normed.Group.HomCompletion

Cited by

0 results in Mathlib

Foundations

Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedAddCommGroupSeminormedAddCommGroupSeminormedAddCommGroup