apply iff_ParametricConsistent_insert₂.mp
case mpr
α : Type u_1
inst✝² : DecidableEq α
inst✝¹ : Inhabited α
𝓓 : DeductionParameter α
inst✝ : 𝓓.IncludeEFQ
T : Theory α
p : Formula α
U : Theory α
⊢ (𝓓)-Consistent (T, insert p U) →
    ∀ (Γ Δ : List (Formula α)), (∀ p ∈ Γ, p ∈ T) → (∀ p ∈ Δ, p ∈ U) → ¬𝓓 ⊢! Γ.conj' ⟶ p ⋎ Δ.disj'
no goals