Reword to contain a link to __context__

Author: johnslavik

Doc/library/stdtypes.rst

@@ -5356,9 +5356,11 @@ before the statement body is executed and exited when the statement ends:
    Returning a true value from this method will cause the :keyword:`with` statement
    to suppress the exception and continue execution with the statement immediately
    following the :keyword:`!with` statement. Otherwise the exception continues
-   propagating after this method has finished executing. Exceptions that occur
-   during execution of this method will be propagated on top of any exception that
-   occurred in the body of the :keyword:`!with` statement.
+   propagating after this method has finished executing.
+
+   If this method raises an exception while handling an earlier exception from the
+   :keyword:`with` block, the new exception is raised, and the original exception
+   is stored in its :attr:`~BaseException.__context__` attribute.
 
    The exception passed in should never be reraised explicitly - instead, this
    method should return a false value to indicate that the method completed