diff --git a/source/iostreams.tex b/source/iostreams.tex
index 8fdf1ea6db..3893f21181 100644
--- a/source/iostreams.tex
+++ b/source/iostreams.tex
@@ -4052,8 +4052,8 @@
   template<class charT, class traits>
     basic_istream<charT, traits>& ws(basic_istream<charT, traits>& is);
 
-  template<class charT, class traits, class T>
-    basic_istream<charT, traits>& operator>>(basic_istream<charT, traits>&& is, T&& x);
+  template<class Istream, class T>
+    Istream&& operator>>(Istream&& is, T&& x);
 }
 \end{codeblock}
 
@@ -4087,8 +4087,8 @@
   template<class charT, class traits>
     basic_ostream<charT, traits>& flush_emit(basic_ostream<charT, traits>& os);
 
-  template<class charT, class traits, class T>
-    basic_ostream<charT, traits>& operator<<(basic_ostream<charT, traits>&& os, const T& x);
+  template<class Ostream, class T>
+    Ostream&& operator<<(Ostream&& os, const T& x);
 }
 \end{codeblock}