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

Theorem sound_GodelDummett_Kripke_no_branch:
provable_sound ProofTheories.GodelDummettPropositionalLogic.GP KripkeSemantics.SM (KripkeModelClass _
(Kmodel_Monotonic + Kmodel_PreOrder + Kmodel_NoBranch)).