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Set Universe Polymorphism.
Set Printing Universes.
Record Cat := { Obj :> Type }.
Definition set_cat := {| Obj := Type |}.
Goal Type@{i} = Type@{j}.
Proof.
(* 1 subgoals
, subgoal 1 (ID 3)
============================
Type@{Top.368} = Type@{Top.370}
(dependent evars:) *)
Fail change Type@{i} with (Obj set_cat@{i}). (* check that it fails *)
try change Type@{i} with (Obj set_cat@{i}). (* check that it's not an anomaly *)
(* Anomaly: Uncaught exception Invalid_argument("Array.iter2", _).
Please report. *)
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