diff --git a/doc/lispref/text.texi b/doc/lispref/text.texi
index 86f9fa0e5f5..1ef836b8f94 100644
--- a/doc/lispref/text.texi
+++ b/doc/lispref/text.texi
@@ -2577,11 +2577,11 @@ The quick brown fox jum  @point{}ped.
 @end example
 @end deffn
 
-@deffn Command indent-relative-maybe
+@deffn Command indent-relative-first-indent-point
 @comment !!SourceFile indent.el
 This command indents the current line like the previous nonblank line,
 by calling @code{indent-relative} with @code{t} as the
-@var{unindented-ok} argument.  The return value is unpredictable.
+@var{first-only} argument.  The return value is unpredictable.
 
 If the previous nonblank line has no indent points beyond the current
 column, this command does nothing.
diff --git a/lisp/indent.el b/lisp/indent.el
index f3d3158faa0..bf87d6af760 100644
--- a/lisp/indent.el
+++ b/lisp/indent.el
@@ -600,8 +600,9 @@ considered.
 
 If the previous nonblank line has no indent points beyond the
 column point starts at, then `tab-to-tab-stop' is done, if both
-FIRST-ONLY and UNINDENTED-OK are nil, otherwise nothing is done
-in this case.
+FIRST-ONLY and UNINDENTED-OK are nil, otherwise nothing is done.
+If there isn't a previous nonblank line and UNINDENTED-OK is nil,
+call `tab-to-tab-stop'.
 
 See also `indent-relative-first-indent-point'."
   (interactive "P")