End Disjoint.
(* *********************************************************************** *)
(** * Basic facts about [uniq] *)
Section UniqProperties.
Variables A B   : Type.
Variables f     : A -> B.
Variables x     : atom.
Variables a b   : A.
Variables E F G : list (atom*A).

Axiom uniq_cons_iff :
uniq ((x, a) :: E) <-> uniq E /\ ~ In x (dom E).