Section Remove.
Hypothesis eqA_dec : forall x y : A, {eqA x y}+{~(eqA x y)}.
End Remove.
(** Results concerning lists modulo [eqA] and [ltA] *)
Variable ltA : A -> A -> Prop.
Hypothesis ltA_strorder : StrictOrder ltA.
Hypothesis ltA_compat : Proper (eqA==>eqA==>iff) ltA.
Let sotrans := (@StrictOrder_Transitive _ _ ltA_strorder).
Hint Resolve sotrans : core.
Notation InfA:=(lelistA ltA).
Notation SortA:=(sort ltA).
Hint Constructors lelistA sort : core.

Lemma InfA_ltA :
forall l x y, ltA x y -> InfA y l -> InfA x l.