Section Corable.
Context {L: Language}
{minL: MinimumLanguage L}
{pL: PropositionalLanguage L}
{sepconL: SepconLanguage L}
{wandL: WandLanguage L}
{Gamma: Provable L}
{minAX: MinimumAxiomatization L Gamma}
{ipAX: IntuitionisticPropositionalLogic L Gamma}
{sepconAX: SepconAxiomatization L Gamma}
{wandAX: WandAxiomatization L Gamma}
{CosAX: Corable L Gamma}.

Lemma corable_sepcon_imply_andp: forall x y, corable x -> corable y -> |-- x * y --> x && y.