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+(* Computing the type constraints to be satisfied when building the
+ return clause of a match with a match *)
+
+Set Implicit Arguments.
+Set Asymmetric Patterns.
+
+Variable A : Type.
+Variable typ : A -> Type.
+
+Inductive t : list A -> Type :=
+| snil : t nil
+| scons : forall (x : A) (e : typ x) (lx : list A) (le : t lx), t (x::lx).
+
+Definition car (x:A) (lx : list A) (s: t (x::lx)) : typ x :=
+ match s in t l' with
+ | snil => False
+ | scons _ e _ _ => e
+ end.