∀ {k G : Type u_1} [inst : CommRing k] [inst_1 : Group G] (x x_1 : G),
  { toFun := fun f t => f (t * (x * x_1)), map_add' := ⋯, map_smul' := ⋯ } =
    { toFun := fun f t => f (t * x), map_add' := ⋯, map_smul' := ⋯ } *
      { toFun := fun f t => f (t * x_1), map_add' := ⋯, map_smul' := ⋯ }