Section DerivableRules_multi_impp.
Context {L: Language}
{minL: MinimumLanguage L}
{Gamma: Provable L}
{minAX: MinimumAxiomatization L Gamma}.

Lemma provable_multi_imp_weaken: forall (xs: list expr) (x y: expr), |-- x --> y -> |-- multi_imp xs x --> multi_imp xs y.