exact finite_comprehension₁! this
  ⟨s, fun i ↦ by
    rintro ⟨t, ht, hi⟩; exact lt_trans _ _ _ (lt_of_mem hi) (lt_of_mem ht)⟩
M : Type u_1
inst✝⁵ : Zero M
inst✝⁴ : One M
inst✝³ : Add M
inst✝² : Mul M
inst✝¹ : LT M
inst✝ : M ⊧ₘ* 𝐈𝚺₁
s : M
this : 𝚺₁-Predicate fun x => ∃ t ∈ s, x ∈ t
⊢ ∃! u, ∀ (x : M), x ∈ u ↔ ∃ t ∈ s, x ∈ t
no goals