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Lit., "has made us heirs to this land", i.e., of paradise. According to all the classical commentators, the concept of "heritage" is used here metaphorically, to denote the rightful due, or portion, of the blessed. The term ard (lit., "earth" or "land") has also - especially in poetry - the connotation of "anything that is spread" (cf. Lane I, 48): hence my rendering of it, in the above context, as "expanse".
This is emphasized in 21:105. The meaning is that Allah will award Paradise to the believers to be its residents forever. Some commentators say that the word “inherit” is used because of the understanding that when Allah created Paradise and Hell, He made places for all of humanity in both. Those who will go to Paradise will inherit the spots of the disbelievers who chose misguidance (which leads to Hell), and those who will go to Hell will inherit the spots of those who chose guidance (which leads to Paradise).
This is said by the new arrivals in heaven. As is right, they begin with the Praises of Allah, which shows at once their satisfaction and their gratitude.
In heritage: i.e. as our Portion. Cf. iii. 180, and n. 485; vi. 165, and n. 988. There is no question here of their passing on any property to heirs. They are the final possessors of Heaven for eternity, by the grace of Allah.