Section SepconRules.
Context {L: Language}
{minL: MinimumLanguage L}
{sepconL: SepconLanguage L}
{Gamma: Provable L}
{minAX: MinimumAxiomatization L Gamma}
{sepconAX: SepconAxiomatization L Gamma}.
Context {pL: PropositionalLanguage L}
{ipAX: IntuitionisticPropositionalLogic L Gamma}.
Context {sepcon_orp_AX: SepconOrAxiomatization L Gamma}
{sepcon_false_AX: SepconFalseAxiomatization L Gamma}.

Lemma sepcon_orp_distr_r: forall (x y z: expr),
|-- (x || y) * z <--> x * z || y * z.