Local Open Scope logic_base.
Local Open Scope syntax.
Section ContextProperties.
Context {L: Language}
{minL: MinimunLanguage L}
{pL: PropositionalLanguage L}
{Gamma: ProofTheory L}
{bSC: BasicSequentCalculus L Gamma}
{minSC: MinimunSequentCalculus L Gamma}
{ipSC: IntuitionisticPropositionalSequentCalculus L Gamma}
{cpSC: ClassicalPropositionalSequentCalculus L Gamma}.

Lemma MCS_orp_iff: forall (Phi: context),
maximal consistent Phi ->
(forall x y: expr, Phi (x || y) <-> (Phi x \/ Phi y)).