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+Set Primitive Projections. (* No failures without this option. *)
+
+Record AT :=
+{ atype :> Type
+; coerce : atype -> Type
+}.
+Coercion coerce : atype >-> Sortclass.
+
+Record Ar C (A:AT) := { ar : forall (X Y : C), A }.
+
+Definition t := forall C A a X, coerce _ (ar C A a X X).
+Definition t' := forall C A a X, ar C A a X X.
+
+(* The command has indeed failed with message:
+=> Error: The term "ar C A a X X" has type "atype A" which is not a (co-)inductive type.
+*)
+
+Record Ar2 C (A:AT) :=
+{ ar2 : forall (X Y : C), A
+; id2 : forall X, coerce _ (ar2 X X) }.
+
+Record Ar3 C (A:AT) :=
+{ ar3 : forall (X Y : C), A
+; id3 : forall X, ar3 X X }.
+(* The command has indeed failed with message:
+=> Anomaly: Bad recursive type. Please report.
+*) \ No newline at end of file