Section Lindenbaum_Kripke.
Context {L: Language}
{minL: MinimumLanguage L}
{Gamma: Derivable L}
{bSC: BasicSequentCalculus L Gamma}
{fwSC: FiniteWitnessedSequentCalculus L Gamma}.

Lemma Lindenbaum_cannot_derive_ensures_derivable_closed: forall x, Lindenbaum_ensures (cannot_derive x) derivable_closed.