Local Open Scope logic_base.
Local Open Scope kripke_model.
Section Lindenbaum_Kripke.
Context {L: Language}
{minL: MinimunLanguage L}
{Gamma: ProofTheory L}
{bSC: BasicSequentCalculus L Gamma}
{fwSC: FiniteWitnessedSequentCalculus L Gamma}.

Lemma Lindenbaum_preserves_cannot_derive: forall x, Lindenbaum_preserves (cannot_derive x).