(** Now comes variants for self-contained weak sets and for full sets.
    For these variants, only one argument is necessary. Thanks to
    the subtyping [WS<=S], the [Properties] functor which is meant to be
    used on modules [(M:S)] can simply be an alias of [WProperties]. *)

Module WProperties (M:WSets) := WPropertiesOn M.E M.Module Properties := WProperties.Module Import ME:=OrderedTypeFacts(M.E).Module Import ML:=OrderedTypeLists(M.E).Module Import P := Properties M.

Lemma sort_equivlistA_eqlistA : forall l l' : list elt, sort E.lt l -> sort E.lt l' -> equivlistA E.eq l l' -> eqlistA E.eq l l'.