Section IntuitionisticDerivedRules.
Context {L: Language}
{minL: MinimumLanguage L}
{pL: PropositionalLanguage L}
{mL: ModalLanguage L}
{Gamma: Provable L}
{minAX: MinimumAxiomatization L Gamma}
{ipAX: IntuitionisticPropositionalLogic L Gamma}
{KmAX: SystemK L Gamma}.

Lemma P_diamondp_P {TmGamma: SystemT L Gamma}: forall x, |-- x --> diamondp x.