diff --git a/index.bs b/index.bs
index 9e3b84e..3401950 100644
--- a/index.bs
+++ b/index.bs
@@ -1537,12 +1537,12 @@ an [=empty host=], and a [=url/path=] consisting of one element itself also a [=
 
 <div algorithm="obtainBlobObject">
 To <dfn export id=blob-url-obtain-object>obtain a blob object</dfn> given a [=blob URL entry=]
-|blobUrlEntry| and an [=environment settings object=], "`top-level-navigation`", or
+|blobUrlEntry| and an [=/environment=], "`top-level-navigation`", or
 "`top-level-self-fetch`" |environment|, perform the following steps. They return an
 [=blob URL entry/object=].
 
 1. Let |isAuthorized| be true.
-1. If |environment| is an [=environment settings object=], then set |isAuthorized| to the result of
+1. If |environment| is an [=/environment=], then set |isAuthorized| to the result of
    [=checking for same-partition blob URL usage=] with |blobUrlEntry| and |environment|.
 1. If |isAuthorized| is false, then return failure.
 1. Return |blobUrlEntry|'s [=blob URL entry/object=].
@@ -1626,11 +1626,11 @@ observable though, since a revoked blob URL can't be resolved/fetched anymore an
 ### Access restrictions on blob URLs ### {#partitioningOfBlobUrls}
 
 <a>Blob URLs</a> can only be fetched from environments where the [=storage key=] matches that of
-the environment where the <a>blob URL</a> was created. <a>Blob URL</a> navigations are not subject
-to this restriction.
+the environment where the <a>blob URL</a> was created. Top-level <a>blob URL</a> navigations are
+not subject to this restriction.
 
 <div algorithm="checkForSamePartitionBlobUrlUsage">
-To <dfn>check for same-partition blob URL usage</dfn> given a [=blob URL entry=] |blobUrlEntry| and an [=environment settings object=] |environment|, perform the following steps. They return a boolean.
+To <dfn>check for same-partition blob URL usage</dfn> given a [=blob URL entry=] |blobUrlEntry| and an [=/environment=] |environment|, perform the following steps. They return a boolean.
 
 1. Let |blobStorageKey| be the result of [=obtaining a storage key for non-storage purposes=] with |blobUrlEntry|'s [=blob URL entry/environment=].
 1. Let |environmentStorageKey| be the result of [=obtaining a storage key for non-storage purposes=] with |environment|.