simp [←System.not_consistent_iff_inconsistent, consistent_iff_isEmpty]
F : Type u_1
inst✝³ : LogicalConnective F
inst✝² : Gentzen F
inst✝¹ : Cut F
Γ Δ E : List F
S : Type u_2
inst✝ : Collection F S
𝓣 : S
⊢ System.Inconsistent 𝓣 ↔ Nonempty (𝓣 ⊢' [])
no goals