Local Open Scope logic_base.
Local Open Scope syntax.
Section IntuitionisticDerivedRules.
Context {L: Language}
{minL: MinimunLanguage L}
{pL: PropositionalLanguage L}
{mL: ModalLanguage L}
{Gamma: ProofTheory L}
{minAX: MinimunAxiomatization L Gamma}
{ipGamma: IntuitionisticPropositionalLogic L Gamma}
{KmGamma: SystemK L Gamma}.

Lemma boxp_andp: forall x y, |-- boxp (x && y) <--> (boxp x && boxp y).