diff --git a/Lib/unittest/case.py b/Lib/unittest/case.py
index 6752e7a..d6e80e8 100644
--- a/Lib/unittest/case.py
+++ b/Lib/unittest/case.py
@@ -477,15 +477,15 @@
         raise self.failureException(msg)
 
     def assertFalse(self, expr, msg=None):
-        "Fail the test if the expression is true."
+        """Check that the expression is false."""
         if expr:
-            msg = self._formatMessage(msg, "%s is not False" % safe_repr(expr))
+            msg = self._formatMessage(msg, "%s is not false" % safe_repr(expr))
             raise self.failureException(msg)
 
     def assertTrue(self, expr, msg=None):
-        """Fail the test unless the expression is true."""
+        """Check that the expression is true."""
         if not expr:
-            msg = self._formatMessage(msg, "%s is not True" % safe_repr(expr))
+            msg = self._formatMessage(msg, "%s is not true" % safe_repr(expr))
             raise self.failureException(msg)
 
     def _formatMessage(self, msg, standardMsg):
diff --git a/Lib/unittest/test/test_assertions.py b/Lib/unittest/test/test_assertions.py
index df2e89e..c81db24 100644
--- a/Lib/unittest/test/test_assertions.py
+++ b/Lib/unittest/test/test_assertions.py
@@ -166,13 +166,13 @@
 
     def testAssertTrue(self):
         self.assertMessages('assertTrue', (False,),
-                            ["^False is not True$", "^oops$", "^False is not True$",
-                             "^False is not True : oops$"])
+                            ["^False is not true$", "^oops$", "^False is not true$",
+                             "^False is not true : oops$"])
 
     def testAssertFalse(self):
         self.assertMessages('assertFalse', (True,),
-                            ["^True is not False$", "^oops$", "^True is not False$",
-                             "^True is not False : oops$"])
+                            ["^True is not false$", "^oops$", "^True is not false$",
+                             "^True is not false : oops$"])
 
     def testNotEqual(self):
         self.assertMessages('assertNotEqual', (1, 1),