Local Open Scope logic_base.
Local Open Scope syntax.
Section ClassicalderivedRules.
Context {L: Language}
{minL: MinimunLanguage L}
{pL: PropositionalLanguage L}
{mL: ModalLanguage L}
{Gamma: ProofTheory L}
{minAX: MinimunAxiomatization L Gamma}
{ipGamma: IntuitionisticPropositionalLogic L Gamma}
{cpGamma: ClassicalPropositionalLogic L Gamma}
{KmGamma: SystemK L Gamma}.
Existing Instances Classical2GodelDummett GodelDummett2DeMorgan.

Lemma diamondp_orp: forall x y, |-- diamondp (x || y) <--> (diamondp x || diamondp y).
Instance PropositionalTransparentModality2StrongPropositionalTransparentModality {pmGamma: PropositionalTransparentModality L Gamma}: StrongPropositionalTransparentModality L Gamma.