diff --git a/Doc/library/asyncio-task.rst b/Doc/library/asyncio-task.rst
index f825ae92ec7471..18f4476e367904 100644
--- a/Doc/library/asyncio-task.rst
+++ b/Doc/library/asyncio-task.rst
@@ -1222,7 +1222,7 @@ Task Object
    To cancel a running Task use the :meth:`cancel` method.  Calling it
    will cause the Task to throw a :exc:`CancelledError` exception into
    the wrapped coroutine.  If a coroutine is awaiting on a Future
-   object during cancellation, the Future object will be cancelled.
+   or Task object during cancellation, the awaited object will be cancelled.
 
    :meth:`cancelled` can be used to check if the Task was cancelled.
    The method returns ``True`` if the wrapped coroutine did not
@@ -1231,7 +1231,8 @@ Task Object
 
    :class:`asyncio.Task` inherits from :class:`Future` all of its
    APIs except :meth:`Future.set_result` and
-   :meth:`Future.set_exception`.
+   :meth:`Future.set_exception`. This includes the cancellation
+   behavior: Tasks can be cancelled in the same way as Futures.
 
    An optional keyword-only *context* argument allows specifying a
    custom :class:`contextvars.Context` for the *coro* to run in.
@@ -1410,6 +1411,10 @@ Task Object
       discouraged.  Should the coroutine nevertheless decide to suppress
       the cancellation, it needs to call :meth:`Task.uncancel` in addition
       to catching the exception.
+      
+      If the Task being cancelled is currently awaiting another Task or
+      Future, that awaited object will also be cancelled. This cancellation
+      propagates down the entire chain of awaited objects.
 
       .. versionchanged:: 3.9
          Added the *msg* parameter.
diff --git a/Doc/library/stdtypes.rst b/Doc/library/stdtypes.rst
index 97e7e08364e0bd..e329fe271b2ab4 100644
--- a/Doc/library/stdtypes.rst
+++ b/Doc/library/stdtypes.rst
@@ -164,7 +164,7 @@ This table summarizes the comparison operations:
    pair: object; numeric
    pair: objects; comparing
 
-Objects of different types, except different numeric types, never compare equal.
+Objects of different types, unless documented otherwise, never compare equal.
 The ``==`` operator is always defined but for some object types (for example,
 class objects) is equivalent to :keyword:`is`. The ``<``, ``<=``, ``>`` and ``>=``
 operators are only defined where they make sense; for example, they raise a
diff --git a/Doc/library/threading.rst b/Doc/library/threading.rst
index 19cc4f191dff8d..b149a222115ec4 100644
--- a/Doc/library/threading.rst
+++ b/Doc/library/threading.rst
@@ -1144,9 +1144,11 @@ Semaphores also support the :ref:`context management protocol <with-locks>`.
         one and return ``True`` immediately.
       * If the internal counter is zero on entry, block until awoken by a call to
         :meth:`~Semaphore.release`.  Once awoken (and the counter is greater
-        than 0), decrement the counter by 1 and return ``True``.  Exactly one
-        thread will be awoken by each call to :meth:`~Semaphore.release`.  The
-        order in which threads are awoken should not be relied on.
+        than 0), decrement the counter by 1 and return ``True``.  Each call to
+        :meth:`~Semaphore.release` will wake up threads according to its *n*
+        parameter (default 1): if *j* threads are waiting and ``release(n)``
+        is called, ``min(j, n)`` threads will be awoken.  The order in which
+        threads are awoken should not be relied on.
 
       When invoked with *blocking* set to ``False``, do not block.  If a call
       without an argument would block, return ``False`` immediately; otherwise, do
@@ -1166,7 +1168,8 @@ Semaphores also support the :ref:`context management protocol <with-locks>`.
 
       Release a semaphore, incrementing the internal counter by *n*.  When it
       was zero on entry and other threads are waiting for it to become larger
-      than zero again, wake up *n* of those threads.
+      than zero again, wake up to *n* of those threads (or all of them if
+      fewer than *n* are waiting).
 
       .. versionchanged:: 3.9
          Added the *n* parameter to release multiple waiting threads at once.