to_cstarRing — Mathlib

English

The induced NormedAlgebra structure on a StarSubalgebra S of A is described similarly by the induced construction.

Русский

Уточнение: структура NormedAlgebra на StarSubalgebra S описывается аналогично индукционному построению.

LaTeX

$$$ \text{NormedAlgebra}_{\,\mathbb{K}}(S) $$$

Lean4

instance to_cstarRing {R A} [CommRing R] [StarRing R] [NormedRing A] [StarRing A] [CStarRing A] [Algebra R A]
    [StarModule R A] (S : StarSubalgebra R A) : CStarRing S where
  norm_mul_self_le x := @CStarRing.norm_mul_self_le A _ _ _ x

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