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+
+
+Universe i j.
+
+Goal False.
+Proof.
+ Check Type@{i} : Type@{j}.
+ Fail constr_eq_strict Type@{i} Type@{j}.
+ assert_succeeds constr_eq Type@{i} Type@{j}. (* <- i=j is forgotten after assert_succeeds *)
+ Fail constr_eq_strict Type@{i} Type@{j}.
+
+ constr_eq Type@{i} Type@{j}. (* <- i=j is retained *)
+ constr_eq_strict Type@{i} Type@{j}.
+ Fail Check Type@{i} : Type@{j}.
+
+ Fail constr_eq Prop Set.
+ Fail constr_eq Prop Type.
+
+ Fail constr_eq_strict Type Type.
+ constr_eq Type Type.
+
+ constr_eq_strict Set Set.
+ constr_eq Set Set.
+ constr_eq Prop Prop.
+
+ let x := constr:(Type) in constr_eq_strict x x.
+ let x := constr:(Type) in constr_eq x x.
+
+ Fail lazymatch type of prod with
+ | ?A -> ?B -> _ => constr_eq_strict A B
+ end.
+ lazymatch type of prod with
+ | ?A -> ?B -> _ => constr_eq A B
+ end.
+ lazymatch type of prod with
+ | ?A -> ?B -> ?C => constr_eq A C
+ end.
+
+Abort.