Require Import Hurkens. Universes i j k. Module Type T. Parameter T1 : Type@{i+1}. Parameter e : Type@{j} = T1 : Type@{k}. End T. Module M. Definition T1 := Type@{j}. Definition e : Type@{j} = T1 : Type@{k} := eq_refl. End M. Module F (A:T). Definition bad := TypeNeqSmallType.paradox _ A.e. End F. Set Printing Universes. Fail Module X := F M. (* Universe inconsistency. Cannot enforce j <= i because i < Coq.Logic.Hurkens.105 = j. *)