∀ {R : Type u_1} [inst : CommSemiring R] (s : Set R) (motive : (∃ T, ↑T ⊆ s ∧ 1 ∈ Submodule.span R ↑T) → Prop)
  (x : ∃ T, ↑T ⊆ s ∧ 1 ∈ Submodule.span R ↑T),
  (∀ (t : Finset R) (hts : ↑t ⊆ s) (mem : 1 ∈ Submodule.span R ↑t), motive ⋯) → motive x