Based on my research and the existing patch, I have enough information to create the proper patch. The issue requests adding an `__eq__` method to ValidationError to allow comparison of validation errors. The key requirements are:

1. Compare the full set of attributes (message, code, params) not just messages
2. Make comparison independent of order

--- a/django/core/exceptions.py
+++ b/django/core/exceptions.py
@@ -182,6 +182,42 @@ class ValidationError(Exception):
             return repr(self.message)
         return repr(self.messages)
 
+    def __eq__(self, other):
+        if not isinstance(other, ValidationError):
+            return NotImplemented
+
+        # Check if both have error_dict
+        if hasattr(self, 'error_dict') and hasattr(other, 'error_dict'):
+            if set(self.error_dict.keys()) != set(other.error_dict.keys()):
+                return False
+            for key in self.error_dict:
+                if not self._compare_error_lists(
+                    self.error_dict[key], other.error_dict[key]
+                ):
+                    return False
+            return True
+        elif hasattr(self, 'error_dict') or hasattr(other, 'error_dict'):
+            return False
+
+        # Both have error_list
+        return self._compare_error_lists(self.error_list, other.error_list)
+
+    def _compare_error_lists(self, list1, list2):
+        """Compare two lists of ValidationErrors, order-independent."""
+        if len(list1) != len(list2):
+            return False
+
+        # Convert each error to a comparable tuple (message, code, params)
+        def make_hashable(params):
+            if isinstance(params, dict):
+                return tuple(sorted(params.items()))
+            return params
+
+        set1 = set(
+            (error.message, error.code, make_hashable(error.params)) for error in list1
+        )
+        set2 = set(
+            (error.message, error.code, make_hashable(error.params)) for error in list2
+        )
+        return set1 == set2
+
+    def __hash__(self):
+        return super().__hash__()
+
     def __len__(self):
         return len(self.error_list)