simp [lindenbaum_next]
α : Type u_1
inst✝⁴ : DecidableEq α
inst✝³ : Inhabited α
𝓓 : DeductionParameter α
inst✝² : 𝓓.IncludeEFQ
inst✝¹ : Inhabited α
inst✝ : Encodable α
t : Tableau α
consistent : (𝓓)-Consistent t
p : Formula α
⊢ (𝓓)-Consistent (lindenbaum_next 𝓓 p t)
α : Type u_1
inst✝⁴ : DecidableEq α
inst✝³ : Inhabited α
𝓓 : DeductionParameter α
inst✝² : 𝓓.IncludeEFQ
inst✝¹ : Inhabited α
inst✝ : Encodable α
t : Tableau α
consistent : (𝓓)-Consistent t
p : Formula α
⊢ (𝓓)-Consistent (if (𝓓)-Consistent (insert p t.1, t.2) then (insert p t.1, t.2) else (t.1, insert p t.2))