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+Universes i j.
+Set Printing Universes.
+Set Printing All.
+Polymorphic Definition lt@{x y} : Type@{y} := Type@{x}.
+Goal True.
+evar (T:Type@{i}).
+set (Z := nat : Type@{j}). simpl in Z.
+let Tv:=eval cbv [T] in T in
+pose (x:=Tv).
+revert x.
+refine (_ : let x:=Z in True).
+(** This enforces i <= j *)
+Fail pose (lt@{i j}).
+let Zv:=eval cbv [Z] in Z in
+let Tv:=eval cbv [T] in T in
+constr_eq Zv Tv.
+exact I. 
+Defined.
+
+Goal True.
+evar (T:nat).
+pose (Z:=0).
+let Tv:=eval cbv [T] in T in
+pose (x:=Tv).
+revert x.
+refine (_ : let x:=Z in True).
+let Zv:=eval cbv [Z] in Z in
+let Tv:=eval cbv [T] in T in
+constr_eq Zv Tv.
+Abort.
+
+Goal True.
+evar (T:Set).
+pose (Z:=nat).
+let Tv:=eval cbv [T] in T in
+pose (x:=Tv).
+revert x.
+refine (_ : let x:=Z in True).
+let Zv:=eval cbv [Z] in Z in
+let Tv:=eval cbv [T] in T in
+constr_eq Zv Tv.
+Abort.
+
+Goal forall (A:Type)(a:A), True.
+intros A a.
+evar (T:A).
+pose (Z:=a).
+let Tv:=eval cbv delta [T] in T in
+pose (x:=Tv).
+revert x.
+refine (_ : let x:=Z in True).
+let Zv:=eval cbv [Z] in Z in
+let Tv:=eval cbv [T] in T in
+constr_eq Zv Tv.
+Abort.
+
+Goal True.
+evar (T:Type).
+pose (Z:=nat).
+let Tv:=eval cbv [T] in T in
+pose (x:=Tv).
+revert x.
+refine (_ : let x:=Z in True).
+let Zv:=eval cbv [Z] in Z in
+let Tv:=eval cbv [T] in T in
+constr_eq Zv Tv.
+Abort.