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diff --git a/test-suite/bugs/closed/3656.v b/test-suite/bugs/closed/3656.v
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+Module A.
+  Set Primitive Projections.
+  Record hSet : Type := BuildhSet { setT : Type;  iss : True }.
+  Ltac head_hnf_under_binders x :=
+  match eval hnf in x with
+    | ?f _ => head_hnf_under_binders f
+    | (fun y => ?f y) => head_hnf_under_binders f
+    | ?y => y
+  end.
+Goal forall s : hSet, True.
+intros. 
+let x := head_hnf_under_binders setT in pose x.
+
+set (foo := eq_refl (@setT )). generalize foo. simpl. cbn. 
+Abort.
+End A.
+
+Module A'.
+Set Universe Polymorphism.
+ Set Primitive Projections.
+Record hSet (A : Type) : Type := BuildhSet { setT : Type;  iss : True }.
+Ltac head_hnf_under_binders x :=
+  match eval compute in x with
+    | ?f _ => head_hnf_under_binders f
+    | (fun y => ?f y) => head_hnf_under_binders f
+    | ?y => y
+  end.
+Goal forall s : @hSet nat, True.
+intros.
+let x := head_hnf_under_binders setT in pose x.
+
+set (foo := eq_refl (@setT nat)). generalize foo. simpl. cbn. 
+Abort.
+End A'.
+
+Set Primitive Projections.
+Record hSet : Type := BuildhSet { setT : Type;  iss : True }.
+Ltac head_hnf_under_binders x :=
+  match eval hnf in x with
+    | ?f _ => head_hnf_under_binders f
+    | (fun y => ?f y) => head_hnf_under_binders f
+    | ?y => y
+  end.
+Goal setT = setT.
+ progress unfold setT. (* should not succeed *)
+ match goal with
+    | |- (fun h => setT h) = (fun h => setT h) => fail 1 "should not eta-expand"
+    | _ => idtac
+  end. (* should not fail *)
+Abort.
+
+Goal forall h, setT h = setT h.
+Proof. intro. progress unfold setT.