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diff --git a/doc/posix-functions/tolower.texi b/doc/posix-functions/tolower.texi
index d8d2bf7f06..9911b7fb0c 100644
--- a/doc/posix-functions/tolower.texi
+++ b/doc/posix-functions/tolower.texi
@@ -16,7 +16,32 @@ OS X 10.8.
Portability problems not fixed by Gnulib:
@itemize
-@item
-On Windows and 32-bit AIX platforms, @code{wchar_t} is a 16-bit type and therefore cannot
-accommodate all Unicode characters.
@end itemize
+
+Note: This function's behaviour depends on the locale, but does not support
+the multibyte characters that occur in strings in locales with
+@code{MB_CUR_MAX > 1} (this includes all the common UTF-8 locales).
+There are four alternative APIs:
+
+@table @code
+@item c_tolower
+This function operates in a locale independent way and returns a different
+value than the argument only for uppercase ASCII characters. It is provided
+by the Gnulib module @samp{c-ctype}.
+
+@item towlower
+This function operates in a locale dependent way, on wide characters. In
+order to use it, you first have to convert from multibyte to wide characters,
+using the @code{mbrtowc} function. It is provided by the Gnulib module
+@samp{wctype}.
+
+@item c32tolower
+This function operates in a locale dependent way, on 32-bit wide characters.
+In order to use it, you first have to convert from multibyte to 32-bit wide
+characters, using the @code{mbrtoc32} function. It is provided by the
+Gnulib module @samp{c32tolower}.
+
+@item uc_tolower
+This function operates in a locale independent way, on Unicode characters.
+It is provided by the Gnulib module @samp{unicase/tolower}.
+@end table