diff --git a/src/runtime/io.cpp b/src/runtime/io.cpp
index e1e16df4f0..18c897a1c5 100644
--- a/src/runtime/io.cpp
+++ b/src/runtime/io.cpp
@@ -1495,10 +1495,8 @@ extern "C" LEAN_EXPORT obj_res lean_st_ref_swap(b_obj_arg ref, obj_arg a) {
     }
 }
 
-extern "C" LEAN_EXPORT obj_res lean_st_ref_ptr_eq(b_obj_arg ref1, b_obj_arg ref2) {
-    // TODO(Leo): ref_maybe_mt
-    bool r = lean_to_ref(ref1)->m_value == lean_to_ref(ref2)->m_value;
-    return box(r);
+extern "C" LEAN_EXPORT uint8_t lean_st_ref_ptr_eq(b_obj_arg ref1, b_obj_arg ref2) {
+    return lean_to_ref(ref1) == lean_to_ref(ref2);
 }
 
 /* {α : Type} (act : BaseIO α) : α */
diff --git a/tests/lean/run/st_test.lean b/tests/lean/run/st_test.lean
new file mode 100644
index 0000000000..1d83d40420
--- /dev/null
+++ b/tests/lean/run/st_test.lean
@@ -0,0 +1,85 @@
+/-!
+Some basic tests for the ST monad.
+-/
+
+namespace STTest
+
+def ptrEq : IO Unit := do
+  let ref1 ← IO.mkRef 0
+  let ref2 ← IO.mkRef 0
+  IO.println (← ref1.ptrEq ref1)
+  IO.println (← ref1.ptrEq ref2)
+
+/--
+info: true
+false
+-/
+#guard_msgs in
+#eval ptrEq
+
+def readWriteRegister : IO Unit := do
+  let ref1 ← IO.mkRef 0
+  IO.println (← ref1.get)
+  ref1.set 1
+  IO.println (← ref1.get)
+
+/--
+info: 0
+1
+-/
+#guard_msgs in
+#eval readWriteRegister
+
+def swapRegister : IO Unit := do
+  let ref1 ← IO.mkRef 0
+  IO.println (← ref1.swap 5)
+  IO.println (← ref1.get)
+
+/--
+info: 0
+5
+-/
+#guard_msgs in
+#eval swapRegister
+
+unsafe def takeRegister : IO Unit := do
+  let ref1 ← IO.mkRef 0
+  IO.println (← ref1.take)
+  ref1.set 5
+  IO.println (← ref1.get)
+
+/--
+info: 0
+5
+-/
+#guard_msgs in
+#eval takeRegister
+
+def modifyRegister : IO Unit := do
+  let ref1 ← IO.mkRef 1
+  IO.println (← ref1.get)
+  ref1.modify (fun x => 2 * x)
+  IO.println (← ref1.get)
+
+/--
+info: 1
+2
+-/
+#guard_msgs in
+#eval modifyRegister
+
+def modifyGetRegister : IO Unit := do
+  let ref1 ← IO.mkRef 1
+  IO.println (← ref1.get)
+  IO.println (← ref1.modifyGet (fun x => (x, 2 * x)))
+  IO.println (← ref1.get)
+
+/--
+info: 1
+1
+2
+-/
+#guard_msgs in
+#eval modifyGetRegister
+
+end STTest