exact ⟨q,r,h₂,h₄,h₃,h₅⟩
t u : Th
p : Pr
h₁ : formalApplicationFunction t u ≤ ↑p
q : Pr
h₂ : t ≤ ↑q
h₃ : formalApplication ↑↑q ↑u ⊆ ↑↑p
r : Pr
h₄ : u ≤ ↑r
h₅ : formalApplication ↑t ↑↑r ⊆ ↑↑p
⊢ ∃ q r, t ≤ ↑q ∧ u ≤ ↑r ∧ formalApplicationFunction (↑q) u ≤ ↑p ∧ formalApplicationFunction t ↑r ≤ ↑p
no goals