English
Another explicit instance showing that a Submonoid inherits MulSemiringAction on R from M.
Русский
Ещё один явный пример: подмоноид наследует MulSemiringAction на R от M.
LaTeX
$$$[MulSemiringAction M R] \\Rightarrow [MulSemiringAction H R]$ для подмножества H$$
Lean4
/-- Right multiplication by a unit of a semiring as an additive automorphism. -/
def mulRight (u : Rˣ) : AddAut R :=
DistribMulAction.toAddAut Rᵐᵒᵖˣ R (Units.opEquiv.symm <| MulOpposite.op u)