καί τοι

English (LSJ)

A and indeed, and further, freq. in Hom. with one or more words between, Il.1.426, al.; καὶ σύ τοι E.Med.344; καὶ τἆλλά τοι X.Cyr.7.3.10: once in Hom. as one word, Il.13.267.
II after Hom. usu., and yet, to mark an objection introduced by the speaker himself, freq. in Rhetorical questions, καίτοι τί φημι; A.Pr.101; κ. τί φωνῶ; S.OC1132, cf. Isoc.4.99, etc.: without a question, κ. φύγοιμ' ἄν E.Cyc.480; κ. καὶ τοῦτο… D.4.12, 18.122: strengthened, καίτοι γ' Ar.Ach.611, E.Fr.953.10, X.Mem.1.2.3, Ph.1.274, etc.: mostly separated, καίτοι… γε E.Or.77, Ar.Ra.43, X.Mem.3.12.7, etc. (καίτοι is f.l. in A.Eu.849); so καίτοι περ v.l. in Hdt.8.53.
III with a participle, much like καίπερ, Simon.5.9, Ar.Ec.159, Pl.R. 511d, Plb.22.8.13, Phld.Ir.p.22 W., Luc.Alex.3: once in the Att. Oratt., Lys.31.34; also καίτοι γε διαχλευάζων Pl.Ax.364b.