prover [mem_maximalConsistentTheory_iff.mp h, mem_maximalConsistentTheory_iff.mp hn]
α : Type u_1
Δ : Sequent α
T : Theory α
consisT : Consistent T
p : Formula α
h : p ∈ maximalConsistentTheory consisT
hn : ~p ∈ maximalConsistentTheory consisT
⊢ maximalConsistentTheory consisT ⊢! ⊥
no goals