προσυπάρχω

A. exist besides, δεῖ τὴν τρίτην ἔτι ‐ειν Arist. GC 335a31; καὶ μηδὲ [ἂν] ταφῆναι προσυπῆρχεν οἴκοι μοι and it would further have been my fate not even to be buried at home, D. 21.106.