have : Inconsistent (maximalConsistentTheory consisT) :=
  System.inconsistent_of_provable (by prover [b.1, b.2, mem_maximalConsistentTheory_iff.mp h])
α : Type u_1
Δ : Sequent α
T : Theory α
consisT : Consistent T
p q : Formula α
h : p ⋎ q ∈ maximalConsistentTheory consisT
A : ¬(p ∈ maximalConsistentTheory consisT ∨ q ∈ maximalConsistentTheory consisT)
b : maximalConsistentTheory consisT ⊢! ~p ∧ maximalConsistentTheory consisT ⊢! ~q
⊢ False
α : Type u_1
Δ : Sequent α
T : Theory α
consisT : Consistent T
p q : Formula α
h : p ⋎ q ∈ maximalConsistentTheory consisT
A : ¬(p ∈ maximalConsistentTheory consisT ∨ q ∈ maximalConsistentTheory consisT)
b : maximalConsistentTheory consisT ⊢! ~p ∧ maximalConsistentTheory consisT ⊢! ~q
this : Inconsistent (maximalConsistentTheory consisT)
⊢ False