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I.e., metonymically, "to remain utterly devoted to Thee". The particle min ("[some] of") preceding the word dhurriyati ("my offspring") is obviously an allusion to 2:124 , where God says in answer to Abraham's question about his descendants: "My covenant does not embrace the evildoers." Thus, Abraham has been given to understand that not all of his posterity would be righteous and that none can claim to belong to a "chosen people" by virtue of his or her descent from an apostle of God: a statement which relates not only to the Israelites, who descended from Abraham through Isaac, but also to the Arabian (Ishmaelite) branch of the Abrahamic peoples, from whom the Quraysh were to spring: hence, by implication, even to the unrighteous among the descendants of the Last Prophet, Muhammad, who belonged to the tribe of Quraysh.
Abraham prays for both branches of his family, having a wider vision than some of the later Children of Israel.