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+Definition MR {T M : Type} :=
+fun (R : M -> M -> Prop) (m : T -> M) (x y : T) => R (m x) (m y).
+
+Set Primitive Projections.
+
+Record sigma {A : Type} {B : A -> Type} : Type := sigmaI
+ { pr1 : A; pr2 : B pr1 }.
+
+Axiom F : forall {A : Type} {R : A -> A -> Prop},
+ (forall x, (forall y, R y x -> unit) -> unit) -> forall (x : A), unit.
+
+Definition foo (A : Type) (l : list A) :=
+ let y := {| pr1 := A; pr2 := l |} in
+ let bar := MR lt (fun p : sigma =>
+ (fix Ffix (x : list (pr1 p)) : nat :=
+ match x with
+ | nil => 0
+ | cons _ x1 => S (Ffix x1)
+ end) (pr2 p)) in
+fun (_ : bar y y) =>
+F (fun (r : sigma)
+ (X : forall q : sigma, bar q r -> unit) => tt).
+
+Definition fooT (A : Type) (l : list A) : Type :=
+ ltac:(let ty := type of (foo A l) in exact ty).
+Parameter P : forall A l, fooT A l -> Prop.
+
+Goal forall A l, P A l (foo A l).
+Proof.
+ intros; unfold foo.
+ Fail match goal with
+ | [ |- context [False]] => idtac
+ end.
+Admitted.