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