instDistribMulAction — Mathlib

English

If R is a monoid, Y an additive monoid and there is a distributive action of R on Y, then LocallyConstant(X,Y) inherits DistribMulAction.

Русский

Если R — моноид, Y — аддитивный моноид и есть распределенное действие R на Y, LocallyConstant(X,Y) наследует DistribMulAction.

LaTeX

$$$\operatorname{DistribMulAction}(R, \operatorname{LocallyConstant}(X,Y))$$$

Lean4

instance [Monoid R] [AddMonoid Y] [DistribMulAction R Y] : DistribMulAction R (LocallyConstant X Y) :=
  Function.Injective.distribMulAction coeFnAddMonoidHom coe_injective fun _ _ => rfl

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