instNonUnitalCommSemiring — Mathlib

English

If β is a NonUnitalCommSemiring and IsTopologicalSemiring, then C₀(α,β) is a NonUnitalCommSemiring.

Русский

Если β — NonUnitalCommSemiring и IsTopologicalSemiring, то C₀(α,β) образует NonUnitalCommSemiring.

LaTeX

$$NonUnitalCommSemiring C₀(α, β) with (f*g)(x) = f(x)·g(x).$$

Lean4

instance instNonUnitalCommSemiring [NonUnitalCommSemiring β] [IsTopologicalSemiring β] :
    NonUnitalCommSemiring C₀(α, β) :=
  DFunLike.coe_injective.nonUnitalCommSemiring _ coe_zero coe_add coe_mul fun _ _ => rfl

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