induction ls; intuition; simpl in *.
intuition.
inversion H1; clear H1; subst.
eapply in_or_app.
left.
eapply in_map_iff.
econstructor.
intuition.
eapply in_or_app.
right.
eapply IHls; eauto.
Qed.
Definition getSupport_bind_cp (A B : Set)(c1 : Comp B)(c2 : B -> Comp A) : list (B * A) :=
flattenPair (getSupport_bind c1 c2).

Lemma In_getSupport_bind_cp : forall (A B : Set)(c1 : Comp B)(c2 : B -> Comp A) b a,
In b (getSupport c1) ->
In a (getSupport (c2 b)) ->
In (b, a) (getSupport_bind_cp c1 c2).