diff --git a/include/rcp.h b/include/rcp.h
index 257186c..3fe3a0d 100644
--- a/include/rcp.h
+++ b/include/rcp.h
@@ -105,6 +105,26 @@ public:
         return ptr != nullptr;
     }
 
+    bool operator==(const rcp<T> & other) const
+    {
+        return ptr == other.ptr;
+    }
+
+    bool operator!=(const rcp<T> & other) const
+    {
+        return ptr != other.ptr;
+    }
+
+    bool operator==(std::nullptr_t) const
+    {
+        return ptr == nullptr;
+    }
+
+    bool operator!=(std::nullptr_t) const
+    {
+        return ptr != nullptr;
+    }
+
     template <typename... Args>
     static rcp<T> create(Args&&... args)
     {
diff --git a/test/tests.cpp b/test/tests.cpp
index fe0298e..556db5f 100644
--- a/test/tests.cpp
+++ b/test/tests.cpp
@@ -68,14 +68,19 @@ void test_dereference()
     assert(mybase->y == 3);
     assert((*mybase).x == 2);
     assert((*mybase).y == 3);
+    rcp<MyBase> mybase2 = mybase;
+    assert(mybase == mybase2);
+    assert(!(mybase != mybase2));
 }
 
 void test_booleans()
 {
     rcp<MyBase> mybase = MyBase::create(2, 3);
     assert(mybase);
+    assert(mybase != nullptr);
     rcp<MyDerived> myderived;
     assert(!myderived);
+    assert(myderived == nullptr);
 }
 
 void test_create()