diff --git a/index.html b/index.html
index 8463c46..6cc7314 100644
--- a/index.html
+++ b/index.html
@@ -336,10 +336,9 @@ <h3>
           |document| is not [=Document/fully active=], return [=a promise
           rejected with=] with a {{"NotAllowedError"}} {{DOMException}}.
           </li>
-          <li data-tests="wakelock-document-hidden-manual.https.html">If the
-          steps to <a>determine the visibility state</a> return `hidden`,
-          return [=a promise rejected with=] {{"NotAllowedError"}}
-          {{DOMException}}.
+          <li data-tests="wakelock-document-hidden-manual.https.html">If
+          |document|'s [=Document/visibility state=] is "`hidden`", return [=a
+          promise rejected with=] {{"NotAllowedError"}} {{DOMException}}.
           </li>
           <li>Let |promise:Promise| be [=a new promise=].
           </li>
@@ -366,8 +365,8 @@ <h3>
                 source</a> given |document|'s <a>relevant global object</a> to
                 run these steps:
                 <ol>
-                  <li>If the steps to <a>determine the visibility state</a>
-                  return `hidden`, then:
+                  <li>If |document|'s [=Document/visibility state=] is
+                  "`hidden`", then:
                     <ol>
                       <li>Reject |promise| with a {{"NotAllowedError"}}
                       {{DOMException}}.
@@ -677,12 +676,13 @@ <h3>
           <dfn>Handling document loss of visibility</dfn>
         </h3>
         <p data-tests="wakelock-document-hidden-manual.https.html">
-          This specification defines the following <a>external now hidden
-          algorithm</a>, which is run when the user agent determines that the
-          [=Document/visibility state=] of a {{Document}} |document:Document|
-          of a <a>top-level browsing context</a> has become `hidden`:
+          This specification defines the following [=page visibility change
+          steps=] with [=Document/visibility state=] |state| and
+          |document:Document|:
         </p>
         <ol class="algorithm">
+          <li>If |state| is not "`hidden`", abort these steps.
+          </li>
           <li>[=list/For each=] |lock:WakeLockSentinel| in
           |document|.{{Document/[[ActiveLocks]]}}["`screen`"]:
             <ol>
@@ -692,10 +692,6 @@ <h3>
             </ol>
           </li>
         </ol>
-        <aside class="note">
-          The [=Document/visibility state=] is only exposed on the {{Window}}
-          object.
-        </aside>
       </section>
       <section>
         <h3>