polyphony of small-sized note and normal-sized note

[Akira]

When a composer want a Do note but it can be replaced by a Mi if it is
impossible because it is too low for the instrument or it is difficult
for players who are not very good, the notation shown in attached
picture is often used.
But Lilypond doesn't seem to support this notation...
How can it  be shown?

The following code made this output in the right of attached picture.
 \partcombine { \override NoteHead #'font-size = #-4 \parenthesize
e'}{\override NoteHead #'font-size = #0 c'}

a.JPG
Description: JPEG image