Module Sound_Trivial.

Lemma sound_stable_proper_iffp {L: Language} {minL: MinimumLanguage L} {pL: PropositionalLanguage L} {MD: Model} {kMD: KripkeModel MD} {M: Kmodel} {R: SS.Relation (Kworlds M)} {SM: Semantics L MD} {tminSM: TrivialMinimumSemantics L MD SM} {tpSM: TrivialPropositionalSemantics L MD SM} {stableSM: SemanticStable L MD M SM}:
forall x y,
(forall m, KRIPKE: M, m |= x <--> y) ->
(semantic_stable x <-> semantic_stable y).