Section Sound_Kripke.
Existing Instances ProofTheories.IntuitionisticPropositionalLogic.minAX ProofTheories.IntuitionisticPropositionalLogic.ipG.
Existing Instances KripkeSemantics.MD KripkeSemantics.kMD KripkeSemantics.SM KripkeSemantics.kminSM KripkeSemantics.kpSM KripkeSemantics.R.

(* Specifications: *)
Theorem sound_intuitionistic_Kripke_all:
sound ProofTheories.IntuitionisticPropositionalLogic.G KripkeSemantics.SM (KripkeModelClass _ (Kmodel_Monotonic + Kmodel_PreOrder)).
Theorem sound_DeMorgan_Kripke_branch_join:
sound ProofTheories.DeMorganPropositionalLogic.G KripkeSemantics.SM (KripkeModelClass _
(Kmodel_Monotonic + Kmodel_PreOrder + Kmodel_BranchJoin)).
Theorem sound_GodelDummett_Kripke_no_branch:
sound ProofTheories.GodelDummettPropositionalLogic.G KripkeSemantics.SM (KripkeModelClass _
(Kmodel_Monotonic + Kmodel_PreOrder + Kmodel_NoBranch)).
Theorem sound_classical_Kripke_identity:
sound ProofTheories.ClassicalPropositionalLogic.G KripkeSemantics.SM (KripkeModelClass _
(Kmodel_Monotonic + Kmodel_PreOrder + Kmodel_Identity)).