Hint Rewrite <- @MakeAxiomatization_FiniteWitnessedSequentCalculus using (typeclasses eauto): AddAX.
Section Test_AddSC.
Context {L: Language}
{minL: MinimunLanguage L}
{Gamma: ProofTheory L}
{minAX: MinimunAxiomatization L Gamma}.

Lemma provable_impp_refl': forall (x: expr), |-- x --> x.