Often, you don't have to explicitly write out any \score{...} block in
your file, see
http://lilypond.org/doc/v2.12/Documentation/user/lilypond-learning/Introduction-to-the-LilyPond-file-structure#Introduction-to-the-LilyPond-file-structure
However, your feature request is certainly relevant,
try this one:
6 5 3- 6 3+ 7 3+
should work; when I remeber to my musical education the order of the figured
bass is
6 - 5 - 3 istead of 3 - 6 - 5
maybe you mean that without the extenders on the 6 : 6 5 3- 6\! 3+ 7
3+, because it makes a difference wheather you let the chord 6 5 3-
I'm not top posting.
%% Docs: A staff is considered empty when it contains only multi-measure
%% rests, skips, spacer rests, or a combination of these elements.
%%
%% But because a \partial rest is not one of these elements it prevents
%% \override VerticalAxisGroup #'remove-first = ##t to work