fix docs links in README

[ci skip]

README.rst

@@ -9,14 +9,14 @@ Documentation: http://steam.readthedocs.io/en/latest/
 Key features
 ------------
 
-* `SteamAuthenticator <http://valvepython.github.io/steam/api/steam.guard.html>`_ - enable/disable/manage 2FA on account and generate codes
-* `SteamClient <http://valvepython.github.io/steam/api/steam.client.html>`_ - communication with the steam network based on ``gevent``.
-* `SteamID <http://valvepython.github.io/steam/api/steam.client.html>`_  - convert between the various ID representations with ease
-* `WebAPI <http://valvepython.github.io/steam/api/steam.webapi.html>`_ - simple API for Steam's Web API with automatic population of interfaces
-* `WebAuth <http://valvepython.github.io/steam/api/steam.webauth.html>`_ - authentication for access to ``store.steampowered.com`` and ``steamcommunity.com``
-
-Checkout the `User guide <http://valvepython.github.io/steam/user_guide.html>`_ for examples,
-or the `API Reference <http://valvepython.github.io/steam/api/index.html>`_ for details.
+* `SteamAuthenticator <http://steam.readthedocs.io/en/latest/api/steam.guard.html>`_ - enable/disable/manage 2FA on account and generate codes
+* `SteamClient <http://steam.readthedocs.io/en/latest/api/steam.client.html>`_ - communication with the steam network based on ``gevent``.
+* `SteamID <http://steam.readthedocs.io/en/latest/api/steam.client.html>`_  - convert between the various ID representations with ease
+* `WebAPI <http://steam.readthedocs.io/en/latest/api/steam.webapi.html>`_ - simple API for Steam's Web API with automatic population of interfaces
+* `WebAuth <http://steam.readthedocs.io/en/latest/api/steam.webauth.html>`_ - authentication for access to ``store.steampowered.com`` and ``steamcommunity.com``
+
+Checkout the `User guide <http://steam.readthedocs.io/en/latest/steam/user_guide.html>`_ for examples,
+or the `API Reference <http://steam.readthedocs.io/en/latest/steam/api/index.html>`_ for details.
 
 For questions, issues or general curiosity visit the repo at `https://github.com/ValvePython/steam <https://github.com/ValvePython/steam>`_.