Local Open Scope logic_base.
Local Open Scope syntax.
Local Open Scope kripke_model.
Section Sound_Kripke.
Context {L: Language}
{minL: MinimunLanguage L}
{pL: PropositionalLanguage L}
{MD: Model}
{kMD: KripkeModel MD}
{M: Kmodel}
{R: Relation (Kworlds M)}
{po_R: PreOrder Krelation}
{SM: Semantics L MD}
{kiSM: KripkeIntuitionisticSemantics L MD M SM}
{kminSM: KripkeMinimunSemantics L MD M SM}
{kpSM: KripkePropositionalSemantics L MD M SM}.

Lemma sound_impp_choice_no_branch {nkiM: NoBranchKripkeIntuitionisticModel (Kworlds M)}:
forall x y: expr,
forall m, KRIPKE: M, m |= (x --> y) || (y --> x).