Shulchan Arukh, Orach Chayim 118/שולחן ערוך·אורח חיים קי״ח

1The Conclusion of the "Hashiva" ["Restore"] Blessing. Containing 1 S'if:[The blessing of] "Hashiva Shofteinu" ["Restore our judges"] - one concludes it with [the words] "Melekh Ohev Tzedaka u'Mishpat" ["King, Lover of righteousness and justice"]. And between Rosh Hashana and Yom Kippur, one concludes with [the words] "Ha-Melekh Ha-Mishpat" ["The King of Justice"]. Gloss: However, if one said "Melekh Ohev Tzedaka u'Mishpat", one does not have to go back. And they only said that one needs to go back, in a place where they say "Ha'keil Oheiv Tzedaka u'Mishpat" ["The God, Lover of righteousness and justice"] during the entire year. (The R"i in the end of first chapter of Tractate Berachot, and the Tur and Hagahot Maimoni) And see below in Siman 582