instNormedCommRingSubtypeMemStarSubalgebraOfIsStarNormal

English

An instance of OrderHomClass arises for CompletelyPositiveMapClass when CP maps exist.

Русский

Для класса CP отображений возникает инстанс OrderHomClass.

LaTeX

$$OrderHomClass (CP maps) instantiation$$

Lean4

instance {R A : Type*} [CommRing R] [StarRing R] [NormedRing A] [Algebra R A] [StarRing A] [ContinuousStar A]
    [StarModule R A] (a : A) [IsStarNormal a] : NormedCommRing (elemental R a) :=
  { SubringClass.toNormedRing (elemental R a) with mul_comm := mul_comm }

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