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Theorems · Theorem · functional analysis

NormedAddGroupHom.zero_completion

∀ {G : Type u_1} [inst : SeminormedAddCommGroup G] {H : Type u_2} [inst_1 : SeminormedAddCommGroup H],
  NormedAddGroupHom.completion 0 = 0
Defined in
Mathlib.Analysis.Normed.Group.HomCompletion
Cited by
0 results in Mathlib
Foundations
Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupSeminormedAddCommGroup
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SeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedAddGroupHom · cited by 216NormedAddGroupHomUniformSpace.Completion · cited by 192UniformSpace.CompletionAddMonoidHom.map_zero · cited by 47AddMonoidHom.map_zeroNormedAddGroupHom.completion · cited by 15NormedAddGroupHom.complet…normedAddGroupHomCompletionHom · cited by 5normedAddGroupHomCompleti…NormedAddGroupHom.zero_comple…CITED BYCITES

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