diff --git a/lib/Quox/Parser/Syntax.idr b/lib/Quox/Parser/Syntax.idr
index 80bb2a1..001570f 100644
--- a/lib/Quox/Parser/Syntax.idr
+++ b/lib/Quox/Parser/Syntax.idr
@@ -84,7 +84,7 @@ mutual
                    (t : Term Three d n) -> (0 _ : NotClo t) =>
                    PTerm
     toPTermWith' ds ns s = case s of
-      TYPE (U l) =>
+      TYPE l =>
         TYPE l
       Pi qty arg (S [x] res) =>
         Pi qty (Just x) (toPTermWith ds ns arg)
diff --git a/lib/Quox/Syntax.idr b/lib/Quox/Syntax.idr
index 5cfd888..969661c 100644
--- a/lib/Quox/Syntax.idr
+++ b/lib/Quox/Syntax.idr
@@ -6,5 +6,4 @@ import public Quox.Syntax.Qty
 import public Quox.Syntax.Shift
 import public Quox.Syntax.Subst
 import public Quox.Syntax.Term
-import public Quox.Syntax.Universe
 import public Quox.Syntax.Var
diff --git a/lib/Quox/Syntax/Term/Base.idr b/lib/Quox/Syntax/Term/Base.idr
index 4e50f88..f694ace 100644
--- a/lib/Quox/Syntax/Term/Base.idr
+++ b/lib/Quox/Syntax/Term/Base.idr
@@ -3,7 +3,6 @@ module Quox.Syntax.Term.Base
 import public Quox.Syntax.Var
 import public Quox.Syntax.Shift
 import public Quox.Syntax.Subst
-import public Quox.Syntax.Universe
 import public Quox.Syntax.Qty
 import public Quox.Syntax.Dim
 import public Quox.Name
@@ -32,6 +31,10 @@ public export
 0 TSubstLike : Type
 TSubstLike = Type -> Nat -> Nat -> Nat -> Type
 
+public export
+0 Universe : Type
+Universe = Nat
+
 public export
 0 TagVal : Type
 TagVal = String
diff --git a/lib/Quox/Syntax/Term/Pretty.idr b/lib/Quox/Syntax/Term/Pretty.idr
index 0da58c8..d23c4a1 100644
--- a/lib/Quox/Syntax/Term/Pretty.idr
+++ b/lib/Quox/Syntax/Term/Pretty.idr
@@ -32,6 +32,16 @@ ofD     = hl Syntax "of"
 returnD = hl Syntax "return"
 
 
+export
+prettyUnivSuffix : Pretty.HasEnv m => Universe -> m (Doc HL)
+prettyUnivSuffix l =
+  ifUnicode (pretty $ pack $ map sub $ unpack $ show l) (pretty l)
+ where
+  sub : Char -> Char
+  sub c = case c of
+    '0' => '₀'; '1' => '₁'; '2' => '₂'; '3' => '₃'; '4' => '₄'
+    '5' => '₅'; '6' => '₆'; '7' => '₇'; '8' => '₈'; '9' => '₉'; _ => c
+
 export
 prettyBindType : PrettyHL a => PrettyHL b => PrettyHL q =>
                  Pretty.HasEnv m =>
diff --git a/lib/Quox/Syntax/Universe.idr b/lib/Quox/Syntax/Universe.idr
deleted file mode 100644
index 586af05..0000000
--- a/lib/Quox/Syntax/Universe.idr
+++ /dev/null
@@ -1,34 +0,0 @@
-module Quox.Syntax.Universe
-
-import Quox.Pretty
-
-import Data.Fin
-import Derive.Prelude
-
-%default total
-%language ElabReflection
-
-
-public export
-data Universe = U Nat
-%name Universe l
-
-%runElab derive "Universe" [Eq, Ord, Show]
-
-export
-PrettyHL Universe where
-  prettyM (U l) = pure $ hl Free $ pretty l
-
-export
-prettyUnivSuffix : Pretty.HasEnv m => Universe -> m (Doc HL)
-prettyUnivSuffix (U l) =
-  ifUnicode (pretty $ pack $ map sub $ unpack $ show l) (pretty l)
- where
-  sub : Char -> Char
-  sub c = case c of
-    '0' => '₀'; '1' => '₁'; '2' => '₂'; '3' => '₃'; '4' => '₄'
-    '5' => '₅'; '6' => '₆'; '7' => '₇'; '8' => '₈'; '9' => '₉'; _ => c
-
-export %inline
-fromInteger : (x : Integer) -> (0 _ : So (x >= 0)) => Universe
-fromInteger x = U $ fromInteger x
diff --git a/lib/quox-lib.ipkg b/lib/quox-lib.ipkg
index 99e0005..de96f7c 100644
--- a/lib/quox-lib.ipkg
+++ b/lib/quox-lib.ipkg
@@ -26,7 +26,6 @@ modules =
   Quox.Syntax.Term.Pretty,
   Quox.Syntax.Term.Split,
   Quox.Syntax.Term.Subst,
-  Quox.Syntax.Universe,
   Quox.Syntax.Var,
   Quox.Definition,
   Quox.Reduce,
diff --git a/tests/Tests/Equal.idr b/tests/Tests/Equal.idr
index 31ad5c9..eef697d 100644
--- a/tests/Tests/Equal.idr
+++ b/tests/Tests/Equal.idr
@@ -260,11 +260,11 @@ tests = "equality & subtyping" :- [
 
   "free var" :-
   let au_bu = fromList
-        [("A", mkDef Any (TYPE (U 1)) (TYPE (U 0))),
-         ("B", mkDef Any (TYPE (U 1)) (TYPE (U 0)))]
+        [("A", mkDef Any (TYPE 1) (TYPE 0)),
+         ("B", mkDef Any (TYPE 1) (TYPE 0))]
       au_ba = fromList
-        [("A", mkDef Any (TYPE (U 1)) (TYPE (U 0))),
-         ("B", mkDef Any (TYPE (U 1)) (FT "A"))]
+        [("A", mkDef Any (TYPE 1) (TYPE 0)),
+         ("B", mkDef Any (TYPE 1) (FT "A"))]
   in [
     testEq "A = A" $
       equalE empty (F "A") (F "A"),
diff --git a/tests/TypingImpls.idr b/tests/TypingImpls.idr
index 592a2af..98a60c3 100644
--- a/tests/TypingImpls.idr
+++ b/tests/TypingImpls.idr
@@ -63,8 +63,8 @@ PrettyHL q => ToInfo (Error q) where
   toInfo (ClashU mode k l) =
     [("type",  "ClashU"),
      ("mode",  show mode),
-     ("left",  prettyStr True k),
-     ("right", prettyStr True l)]
+     ("left",  show k),
+     ("right", show l)]
   toInfo (ClashQ pi rh) =
     [("type",  "ClashQ"),
      ("left",  prettyStr True pi),