Instance L: Language := MinimunLanguage.L Var.Instance minL: MinimunLanguage L := MinimunLanguage.minL Var.Instance G: ProofTheory L := MinimunLogic.G Var.Instance AX: NormalAxiomatization L G := MinimunLogic.AX Var.Instance minAX: MinimunAxiomatization L G := MinimunLogic.minAX Var.Instance SC: NormalSequentCalculus L G := MinimunLogic.SC Var.Instance bSC: BasicSequentCalculus L G := MinimunLogic.bSC Var.Instance fwSC: FiniteWitnessedSequentCalculus L G := MinimunLogic.fwSC Var.Instance minSC: MinimunSequentCalculus L G := MinimunLogic.minSC Var.Instance Kripke_MD: Model := KripkeSemantics.MD Var.Instance Kripke_kMD: KripkeModel Kripke_MD := KripkeSemantics.kMD Var.Instance Kripke_R (M: Kmodel): Relation (Kworlds M) := KripkeSemantics.R Var M.Instance Kripke_SM: Semantics L Kripke_MD := KripkeSemantics.SM Var.Instance Kripke_kminSM (M: Kmodel): KripkeMinimunSemantics L Kripke_MD M Kripke_SM := KripkeSemantics.kminSM Var M.Definition cP: context -> Prop := derivable_closed.

Lemma LIN_CD: forall x: expr, Lindenbaum_constructable (cannot_derive x) cP.