diff --git a/docs/integrations/matrix.md b/docs/integrations/matrix.md
index 8bf6d948..56a9be31 100644
--- a/docs/integrations/matrix.md
+++ b/docs/integrations/matrix.md
@@ -96,7 +96,7 @@ and federation peers all reach the homeserver at `chat.<swarm-domain>`
 through the gateway; from outside the host that takes
 `gateway.openFirewall`.
 
-hive-c0re does not talk to the homeserver: matrix is swarm-level, and
+hive-c0re doesn't talk to the homeserver: matrix is swarm-level, and
 the hive has no matrix API URL to set.
 
 Federation peers find the homeserver through `.well-known/matrix/server`
@@ -327,8 +327,8 @@ Initial rollout settings:
 
 Earlier versions of hive-c0re created a private "hive" Matrix Space and a
 `hive-chat` room, invited every agent to both, kept the hive's sender token
-on disk and offered `hivectl matrix invite`. All of that is gone: matrix is
-swarm-level, so the hive no longer talks to the homeserver. The Space, the
+on disk and offered `hivectl matrix invite`. Matrix is swarm-level, so
+hive-c0re dropped all of it and no longer talks to the homeserver. The Space, the
 room and the files `/var/lib/hyperhive/matrix/{access-token,space-room-id,chat-room-id}`
 are harmless leftovers, so delete them by hand if you like.