instNonUnitalCommRing — Mathlib

English

If β is a NonUnitalCommRing and IsTopologicalRing, then C₀(α,β) is a NonUnitalCommRing.

Русский

Если β — NonUnitalCommRing и IsTopologicalRing, то C₀(α,β) образует NonUnitalCommRing.

LaTeX

$$NonUnitalCommRing C₀(α,β) with pointwise addition and multiplication.$$

Lean4

instance instNonUnitalCommRing [NonUnitalCommRing β] [IsTopologicalRing β] : NonUnitalCommRing C₀(α, β) :=
  DFunLike.coe_injective.nonUnitalCommRing _ coe_zero coe_add coe_mul coe_neg coe_sub (fun _ _ => rfl) fun _ _ => rfl

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