. exact axiomL!;
case right.left
α : Type u_1
inst✝¹ : DecidableEq α
p : Formula α
inst✝ : Inhabited α
⊢ 𝐆𝐋 ⊢! Axioms.L (atom default)

case right.right
α : Type u_1
inst✝¹ : DecidableEq α
p : Formula α
inst✝ : Inhabited α
⊢ 𝐊𝟒 ⊬! Axioms.L (atom default)
case right.right
α : Type u_1
inst✝¹ : DecidableEq α
p : Formula α
inst✝ : Inhabited α
⊢ 𝐊𝟒 ⊬! Axioms.L (atom default)