diff --git a/kernel/src/calculus/term.rs b/kernel/src/calculus/term.rs
index 07d43c42d2f01dc5154ce0d56029d90c465ba433..5330d334a7a2cf83b1f92a584bd40986ca86eea1 100644
--- a/kernel/src/calculus/term.rs
+++ b/kernel/src/calculus/term.rs
@@ -314,7 +314,6 @@ mod tests {
     #[test]
     fn decl_subst() {
         use_arena(|arena| {
-            // λx.(λy.x y) x
             let decl_ = crate::memory::declaration::InstantiatedDeclaration::instantiate_with_self(
                 declaration::builder::Builder::Decl(crate::memory::term::builder::Builder::Prop.into(), Vec::new())
                     .realise(arena)
@@ -322,7 +321,6 @@ mod tests {
                 arena,
             );
             let decl = crate::memory::term::Term::decl(decl_, arena);
-            // λx.x x
             let reduced = arena.build_term_raw(prop());
 
             assert_eq!(decl.beta_reduction(arena), reduced);
diff --git a/kernel/src/memory/level/mod.rs b/kernel/src/memory/level/mod.rs
index 51435e1ba0a312630007d02d8d7b0ccfe98f43b5..fdfb7418f16355cef6bf6a0c90cedb9958f53534 100644
--- a/kernel/src/memory/level/mod.rs
+++ b/kernel/src/memory/level/mod.rs
@@ -226,4 +226,13 @@ mod pretty_printing {
             )
         })
     }
+
+    #[test]
+    fn normalize() {
+        use_arena(|arena| {
+            let lvl = arena.build_level_raw(imax(zero(), imax(zero(), imax(succ(zero()), var(0)))));
+
+            assert_eq!(format!("{lvl}"), "max (imax (0) (u0)) (max (imax (0) (u0)) (imax (1) (u0)))")
+        })
+    }
 }