διαμιλλ-άομαι · diamill-aomai — LSJ
contend hotly, strive earnestly, δέκα πρὸς δέκα ἀλλήλοις Pl. Lg. 833e; τινί with one, Id. R. 516e; πρός τινα Plb. 16.21.6; δ. περί τινος about a thing, Pl. R. 517d; τινὶ ἐν λόγοις καὶ ἐν ἔργοις ib. 563a: c. gen. rei, δ. λειοτέρας ὁδοῦ Id. Lg. 833b; τινὶ περὶ δεῖπνα Plu. Them. 5: pf. διημίλληται in pass. sense, Luc. Par. 58.