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+(* Check that the analysis of projectable rel's in an evar instance is up to
+ aliases *)
+
+Require Import List.
+
+Definition compose (A B C : Type) (g : B -> C) (f : A -> B) : A -> C :=
+ fun x : A => g(f x).
+
+Definition map_fuse' :
+ forall (A B C : Type) (g : B -> C) (f : A -> B) (xs : list A),
+ (map g (map f xs)) = map (compose _ _ _ g f) xs
+ :=
+ fun A B C g f =>
+ (fix loop (ys : list A) {struct ys} :=
+ match ys as ys return (map g (map f ys)) = map (compose _ _ _ g f) ys
+ with
+ | nil => refl_equal nil
+ | x :: xs =>
+ match loop xs in eq _ a return eq _ ((g (f x)) :: a) with
+ | refl_equal => refl_equal (map g (map f (x :: xs)))
+ end
+ end).