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diff --git a/test-suite/bugs/closed/5501.v b/test-suite/bugs/closed/5501.v
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+Set Universe Polymorphism.
+
+Record Pred@{A} :=
+  { car :> Type@{A}
+  ; P : car -> Prop
+  }.
+
+Class All@{A} (A : Pred@{A}) : Type :=
+  { proof : forall (a : A), P A a
+  }.
+
+Record Pred_All@{A} : Type :=
+  { P' :> Pred@{A}
+  ; P'_All : All P'
+  }.
+
+Global Instance Pred_All_instance (A : Pred_All) : All A := P'_All A.
+
+Definition Pred_All_proof {A : Pred_All} (a : A) : P A a.
+Proof.
+solve[auto using proof].