diff --git a/test/test_pytato.py b/test/test_pytato.py
index b77c08913881baa9031cb162ac30dd6b160b943e..5c3fdb519778891a2c5b1e6596c8b58570f6ecd1 100755
--- a/test/test_pytato.py
+++ b/test/test_pytato.py
@@ -266,6 +266,18 @@ def test_tagging_array():
     assert any(isinstance(tag, BestArrayTag) for tag in y.tags)
 
 
+def test_dict_of_named_arrays_comparison():
+    # See https://github.com/inducer/pytato/pull/137
+    x = pt.make_placeholder("x", (10, 4), float)
+    dict1 = pt.make_dict_of_named_arrays({"out": 2 * x})
+    dict2 = pt.make_dict_of_named_arrays({"out": 2 * x})
+    dict3 = pt.make_dict_of_named_arrays({"not_out": 2 * x})
+    dict4 = pt.make_dict_of_named_arrays({"out": 3 * x})
+    assert dict1 == dict2
+    assert dict1 != dict3
+    assert dict1 != dict4
+
+
 if __name__ == "__main__":
     if len(sys.argv) > 1:
         exec(sys.argv[1])