diff --git a/doc/source/third_party.rst b/doc/source/third_party.rst
index 92601dd6d2..d650ea11b6 100644
--- a/doc/source/third_party.rst
+++ b/doc/source/third_party.rst
@@ -40,12 +40,9 @@ Requirements
 
 * Support recheck to request re-running a test.
 
-  * Support the following syntaxes: ``recheck``, ``<system>: recheck``
+  * Support the following syntaxes: ``recheck``.
   * Recheck means recheck everything. A single recheck comment should
     re-trigger all testing systems.
-  * <system>: recheck should only re-trigger this specific system.
-  * Any other commands the system responds to should also use the same
-    <system> namespace
 
 * Publish contact information for the maintainers.