instNonUnitalCommRing — Mathlib

English

If Y is a nonunital commutative ring, LocallyConstant(X, Y) inherits a nonunital commutative ring structure via pointwise operations.

Русский

Если Y — ненулевой коммутативный кольцо, LocallyConstant(X, Y) наследует неединичное коммутативное кольцо через точечно заданные операции.

LaTeX

$$$\operatorname{NonUnitalCommRing}(\operatorname{LocallyConstant}(X,Y))$$$

Lean4

instance [NonUnitalCommRing Y] : NonUnitalCommRing (LocallyConstant X Y) :=
  Function.Injective.nonUnitalCommRing DFunLike.coe DFunLike.coe_injective' rfl (fun _ _ => rfl) (fun _ _ => rfl)
    (fun _ => rfl) (fun _ _ => rfl) (fun _ _ => rfl) (fun _ _ => rfl)

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