Herbert Weir Smyth, A Greek Grammar for Colleges

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μὴ οὐ WITH THE PARTICIPLE DEPENDING ON NEGATIVED VERBS

[*] 2750. μὴ οὐ, instead of μή, is sometimes found with the participle after expressions preceded by οὐ or involving a negative, and usually when such expressions denote impossibility or moral repugnance. μὴ οὐ here denotes an exception, and has the force of except, unless (cp. εἰ μή, 2346 a).

““οὐκ ἄρα ἐστὶν φίλον τῷ φιλοῦντι οὐδὲν μὴ οὐκ ἀντιφιλοῦν” nothing then is beloved by a lover except it love in return” P. Lys. 212d, ““δυσάλγητος γὰρ ἂν εἴην τοία_νδε μὴ οὐ κατοικτί_ρων ἕδρα_ν” for I should prove hard of heart, did I not pity such a supplication as this” S. O. T. 11 (δυσάλγητος ῀ οὐκ οἰκτίρμων, μὴ οὐ κατοικτί_ρων ῀ εἰ μὴ κατοικτί_ροιμι).