∀ (α : Type u_1) (β : Type u_2) [inst : NonAssocSemiring β] (x y : β),
  (↑↑(Pi.ringHom fun x => RingHom.id β)).toFun (x * y) =
    (↑↑(Pi.ringHom fun x => RingHom.id β)).toFun x * (↑↑(Pi.ringHom fun x => RingHom.id β)).toFun y