have := this.not_con
case pos
α : Type u_1
Δ : Sequent α
T : Theory α
consisT : Consistent T
p : Formula α
hp : p ∈ maximalConsistentTheory consisT
bnp : maximalConsistentTheory consisT ⊢! ~p
this : Inconsistent (maximalConsistentTheory consisT)
⊢ False
case pos
α : Type u_1
Δ : Sequent α
T : Theory α
consisT : Consistent T
p : Formula α
hp : p ∈ maximalConsistentTheory consisT
bnp : maximalConsistentTheory consisT ⊢! ~p
this✝ : Inconsistent (maximalConsistentTheory consisT)
this : ¬Consistent (maximalConsistentTheory consisT)
⊢ False