End AddSequentCalculus.
Hint Rewrite <- @MakeSequentCalculus_ClassicalPropositionalLogic using first [typeclasses eauto | instantiate (1 := _); instantiate (1 := _); instantiate (1 := _); instantiate_must_succeed; apply Typeclass_Rewrite_I]: AddSC.
Section SequentCalculus2Axiomatization.
Context {L: Language}
{minL: MinimunLanguage L}
{pL: PropositionalLanguage L}
{Gamma: ProofTheory L}
{SC: NormalSequentCalculus L Gamma}
{bSC: BasicSequentCalculus L Gamma}
{minSC: MinimunSequentCalculus L Gamma}
{ipSC: IntuitionisticPropositionalSequentCalculus L Gamma}
{cpSC: ClassicalPropositionalSequentCalculus L Gamma}
{minAX: MinimunAxiomatization L Gamma}
{ipGamma: IntuitionisticPropositionalLogic L Gamma}.

Lemma SequentCalculus2Axiomatization_cpGamma: ClassicalPropositionalLogic L Gamma.
End SequentCalculus2Axiomatization.