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