∀ (α : Type u_1) (β : Type u_2) [inst : NonUnitalNonAssocSemiring β] (x y : β),
  (Pi.nonUnitalRingHom fun x => NonUnitalRingHom.id β).toFun (x + y) =
    (Pi.nonUnitalRingHom fun x => NonUnitalRingHom.id β).toFun x +
      (Pi.nonUnitalRingHom fun x => NonUnitalRingHom.id β).toFun y