diff --git a/content/rooms/fragments/v2-state-res.md b/content/rooms/fragments/v2-state-res.md
index c7773986..c0ddfb12 100644
--- a/content/rooms/fragments/v2-state-res.md
+++ b/content/rooms/fragments/v2-state-res.md
@@ -45,7 +45,9 @@ whereas the conflicted state set may associate multiple events to the same key.
The *auth chain* of an event *E* is the set containing all of *E*'s auth events,
all of *their* auth events, and so on recursively, stretching back to the
start of the room. Put differently, these are the events reachable by walking
-the graph induced by an event's `auth_events` links. If *S* is a collection of
+the graph induced by an event's `auth_events` links.
+
+If *S* is a collection of
events, the *full auth chain of S* is the union of the auth chains of every
event *E* in *S*.
@@ -55,7 +57,8 @@ chain for each state *S**i*, and then discarding the events
belonging to each full auth chain. In symbols: if *F*(*S*) is the full auth
chain of a collection of events *S*, the auth difference is
∪*i* *F*(*Si*) - ∩*i* *F*(*Si*).
-This can be [computed more efficiently](https://github.com/matrix-org/matrix-spec/issues/1118) as
+
+This can be computed more efficiently as
*F*(*C*) - ∩*i* *F*(*Si* - *C*) ,
where *C* is the conflicted state set.