diff --git a/Lib/test/test_gzip.py b/Lib/test/test_gzip.py
index c26035b..d28c024 100644
--- a/Lib/test/test_gzip.py
+++ b/Lib/test/test_gzip.py
@@ -24,14 +24,14 @@
 class TestGzip(unittest.TestCase):
     filename = support.TESTFN
 
-    def setUp (self):
+    def setUp(self):
         support.unlink(self.filename)
 
-    def tearDown (self):
+    def tearDown(self):
         support.unlink(self.filename)
 
 
-    def test_write (self):
+    def test_write(self):
         f = gzip.GzipFile(self.filename, 'wb') ; f.write(data1 * 50)
 
         # Try flush and fileno.
@@ -41,6 +41,9 @@
             os.fsync(f.fileno())
         f.close()
 
+        # Test multiple close() calls.
+        f.close()
+
     def test_read(self):
         self.test_write()
         # Try reading.