have := this.not_con
α : Type u_1
Δ : Sequent α
T : Theory α
consisT : Consistent T
p : Formula α
h : p ∈ maximalConsistentTheory consisT
hn : ~p ∈ maximalConsistentTheory consisT
this : Inconsistent (maximalConsistentTheory consisT)
⊢ False
α : Type u_1
Δ : Sequent α
T : Theory α
consisT : Consistent T
p : Formula α
h : p ∈ maximalConsistentTheory consisT
hn : ~p ∈ maximalConsistentTheory consisT
this✝ : Inconsistent (maximalConsistentTheory consisT)
this : ¬Consistent (maximalConsistentTheory consisT)
⊢ False