Lemma MakeSequentCalculus_IntuitionisticPropositionalLogic {L: Language} {minL: MinimunLanguage L} {pL: PropositionalLanguage L} {Gamma: ProofTheory L} {minAX: MinimunAxiomatization L Gamma} (minAX': MinimunAxiomatization L (Build_AxiomaticProofTheory (@provable L Gamma))) (ipGamma: IntuitionisticPropositionalLogic L Gamma): Typeclass_Rewrite ((exist (fun X: Prop => X) (MinimunAxiomatization L (Build_AxiomaticProofTheory (@provable L Gamma))) minAX') :: nil) -> forall (G: Prop) (l: list (sig (fun X: Prop => X))), (forall (ipSC: IntuitionisticPropositionalSequentCalculus L (Build_AxiomaticProofTheory (@provable L Gamma))) (ipGamma: IntuitionisticPropositionalLogic L (Build_AxiomaticProofTheory (@provable L Gamma))), OpaqueProp (OpaqueProp (Typeclass_Rewrite l -> G))) <-> OpaqueProp (Typeclass_Rewrite ((exist (fun X: Prop => X) (IntuitionisticPropositionalLogic L Gamma) ipGamma) :: l) -> G).