intros t u p h₁
⊢ ∀ (t u : Th) (p : Pr), formalApplicationFunction t u ≤ ↑p → ∃ q, t ≤ ↑q ∧ formalApplication ↑↑q ↑u ⊆ ↑↑p
t u : Th
p : Pr
h₁ : formalApplicationFunction t u ≤ ↑p
⊢ ∃ q, t ≤ ↑q ∧ formalApplication ↑↑q ↑u ⊆ ↑↑p