∀ {R : Type u} {M : Type v} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {ι : Type w}
  [RankCondition R] {J : Set M} (v : Module.Basis ι R M),
  Submodule.span R J = ⊤ → Cardinal.mk ↑(Set.range ⇑v) ≤ Cardinal.mk ↑J