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diff --git a/test-suite/success/section_poly.v b/test-suite/success/section_poly.v
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+
+
+Section Foo.
+
+  Variable X : Type.
+
+  Polymorphic Section Bar.
+
+  Variable A : Type.
+
+  Definition id (a:A) := a.
+
+End Bar.
+Check id@{_}.
+End Foo.
+Check id@{_}.
+
+Polymorphic Section Foo.
+Variable A : Type.
+Section Bar.
+  Variable B : Type.
+
+  Inductive prod := Prod : A -> B -> prod.
+End Bar.
+Check prod@{_}.
+End Foo.
+Check prod@{_ _}.
+
+Section Foo.
+
+  Universe K.
+  Inductive bla := Bla : Type@{K} -> bla.
+
+  Polymorphic Definition bli@{j} := Type@{j} -> bla.
+
+  Definition bloo := bli@{_}.
+
+  Polymorphic Universe i.
+
+  Fail Definition x := Type.
+  Fail Inductive x : Type := .
+  Polymorphic Definition x := Type.
+  Polymorphic Inductive y : x := .
+
+  Variable A : Type. (* adds a mono univ for the Type, which is unrelated to the others *)
+
+  Fail Variable B : (y : Type@{i}).
+  (* not allowed: mono constraint (about a fresh univ for y) regarding
+  poly univ i *)
+
+  Polymorphic Variable B : Type. (* new polymorphic stuff always OK *)
+
+  Variable C : Type@{i}. (* no new univs so no problems *)
+
+  Polymorphic Definition thing := bloo -> y -> A -> B.
+
+End Foo.
+Check bli@{_}.
+Check bloo@{}.
+
+Check thing@{_ _ _}.
+
+Section Foo.
+
+  Polymorphic Universes i k.
+  Universe j.
+  Fail Constraint i < j.
+  Fail Constraint i < k.
+
+  (* referring to mono univs in poly constraints is OK. *)
+  Polymorphic Constraint i < j. Polymorphic Constraint j < k.
+
+  Polymorphic Definition foo := Type@{j}.
+End Foo.