. exact axiomT!;
case left
α : Type u_1
inst✝¹ : DecidableEq α
p : Formula α
inst✝ : Inhabited α
⊢ 𝐒𝟒 ⊢! Axioms.T (atom default)

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