diff --git a/specification/server_server_api.rst b/specification/server_server_api.rst
index a2a2274d..29d104d9 100644
--- a/specification/server_server_api.rst
+++ b/specification/server_server_api.rst
@@ -303,11 +303,12 @@ following subset of the room state:
 - If type is ``m.room.member``:
 
     - The target's current ``m.room.member`` event, if any.
-    - If ``join`` or ``invite`` then the current ``m.room.join_rules`` event,
-      if any.
-    - If ``invite`` with ``third_party_invite`` in ``content``, then add
-      ``m.room.third_party_invite`` with state_key of ``token`` in ``signed``
-      field of ``third_party_invite``, if any.
+    - If membership is ``join`` or ``invite``, the current ``m.room.join_rules``
+      event, if any.
+    - If membership is ``invite`` and ``content`` contains a
+      ``third_party_invite`` property, the current
+      ``m.room.third_party_invite`` with state_key matching
+      ``content.third_party_invite.signed.token``, if any.
 
 {{definition_ss_pdu}}