simp [←not_inconsistent_iff_consistent, inconsistent_def]
F : Type u_1
S : Type u_2
T : Type u_3
U : Type u_4
inst✝² : System F S
inst✝¹ : System F T
inst✝ : System F U
𝓢 : S
⊢ Consistent 𝓢 ↔ ∃ f, 𝓢 ⊬! f
no goals