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Theorems · Theorem · functional analysis

NormedAddGroupHom.completion_neg

∀ {G : Type u_1} [inst : SeminormedAddCommGroup G] {H : Type u_2} [inst_1 : SeminormedAddCommGroup H]
  (f : NormedAddGroupHom G H), (-f).completion = -f.completion
Defined in
Mathlib.Analysis.Normed.Group.HomCompletion
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Foundations
Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupSeminormedAddCommGroup
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SeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupmap_neg · cited by 378map_negNormedAddGroupHom · cited by 216NormedAddGroupHomUniformSpace.Completion · cited by 192UniformSpace.CompletionNormedAddGroupHom.completion · cited by 15NormedAddGroupHom.complet…normedAddGroupHomCompletionHom · cited by 5normedAddGroupHomCompleti…NormedAddGroupHom.completion_…CITED BYCITES

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