assumption
case inr
α : Type u_1
inst✝² : DecidableEq α
inst✝¹ : Inhabited α
L : DeductionParameter α
inst✝ : L.Normal
T : Theory α
p : Formula α
h✝ : ∀ {Γ : List (Formula α)}, (∀ q ∈ Γ, q ∈ T) → L ⊬! p ⋏ Γ.conj' ⟶ ⊥
Γ : List (Formula α)
hΓ : ∀ p_1 ∈ Γ, p_1 ∈ insert p T
q : Formula α
hq : q ∈ List.remove p Γ
h : q ∈ T
⊢ q ∈ T
no goals