End GodelDummett_Completeness.
Section Classical_Completeness.
Existing Instances ProofTheories.ClassicalPropositionalLogic.G ProofTheories.ClassicalPropositionalLogic.AX ProofTheories.ClassicalPropositionalLogic.minAX ProofTheories.ClassicalPropositionalLogic.ipG  ProofTheories.ClassicalPropositionalLogic.cpG.
Existing Instances Axiomatization2SequentCalculus_SC Axiomatization2SequentCalculus_bSC Axiomatization2SequentCalculus_fwSC Axiomatization2SequentCalculus_minSC Axiomatization2SequentCalculus_ipSC Axiomatization2SequentCalculus_cpSC.

Theorem complete_Classical_Kripke_identity:
strongly_complete ProofTheories.ClassicalPropositionalLogic.G KripkeSemantics.SM
(KripkeModelClass _ (Kmodel_Monotonic + Kmodel_PreOrder + Kmodel_Identity)).