∀ {α : Type u_1} {M : Type u_2} (R : Type u_3) [inst : Fintype α] [inst_1 : Semiring R] [inst_2 : AddCommMonoid M]
  [inst_3 : Module R M] (v : α → M), (Fintype.linearCombination R v).range = Submodule.span R (Set.range v)