diff --git a/content/rooms/fragments/v2-state-res.md b/content/rooms/fragments/v2-state-res.md
index 442e400f..c7773986 100644
--- a/content/rooms/fragments/v2-state-res.md
+++ b/content/rooms/fragments/v2-state-res.md
@@ -52,12 +52,12 @@ event *E* in *S*.
**Auth difference.**
The *auth difference* is calculated by first calculating the full auth
chain for each state *S**i*, and then discarding the events
-belonging to each full auth chain. In symbols: if *C*(*S*) is the full auth
+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* *C*(*Si*) - ∩*i* *C*(*Si*).
+ ∪*i* *F*(*Si*) - ∩*i* *F*(*Si*).
This can be [computed more efficiently](https://github.com/matrix-org/matrix-spec/issues/1118) as
- *C*(*F*) - ∩*i* *C*(*Si* - *F*) ,
-where *F* is the full conflicted set.
+ *F*(*C*) - ∩*i* *F*(*Si* - *C*) ,
+where *C* is the conflicted state set.
**Full conflicted set.**
The *full conflicted set* is the union of the conflicted state set and