Local Open Scope logic_base.
Local Open Scope syntax.
Section Sound.
Context {L: Language}
{minL: MinimunLanguage L}
{MD: Model}
{SM: Semantics L MD}
{tminSM: TrivialMinimunSemantics L MD SM}.

(* Specifications: *)
Lemma sound_modus_ponens:
forall x y m,
m |= (x --> y) -> m |= x -> m |= y.
Lemma sound_axiom1:
forall x y m,
m |= x --> y --> x.
Lemma sound_axiom2:
forall x y z m,
m |= (x --> y --> z) --> (x --> y) --> (x --> z).