normedAddCommGroup — Mathlib

English

E carries a NormedAddCommGroup structure given by NormedAddCommGroup.ofCore (normedSpaceCore A).

Русский

E обладает структурой нормированного абелевой группы по норме, заданной NormedAddCommGroup.ofCore (normedSpaceCore A).

LaTeX

$$$\\text{NormedAddCommGroup}(E)$$$

Lean4

/-- This is not listed as an instance because we often want to replace the topology, uniformity
and bornology instead of inheriting them from the norm. -/
abbrev normedAddCommGroup : NormedAddCommGroup E :=
  NormedAddCommGroup.ofCore (CStarModule.normedSpaceCore A)

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