∀ {α : Type u_3} {β : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α]
  [inst_3 : Ring β] {abv : β → α} {G : Type u_2} [inst_4 : SMul G β] [IsScalarTower G β β] (a : G) (f : CauSeq β abv)
  (x : ℕ), a • 1 * ↑f x = a • ↑f x