Assalamu Alaikum wa rahmatuLLAHI wa barakatuHU wa maghfiratuHU,
We know for a fact that Idhaafat-e-lafzi is when a seegha of sifat is made mudhaaf to its maamool and that it does not serve any purpose except that it makes the mudhaaf mukhaffaf.
In "Maaliki Yaumid-Deen", Maalik is ism-faail ( which is from among the seeghas of sifat), and it has been made mudhaaf to Yaumud-Deen which could have been its mafool bihi, had there been no idhaafat done in the first place. Thus it follows that this is an instance of idhaafat-e-lafzi whereby Maalik is mudhaaf to its maamool. So, technically, this should not be considered as being sifat to Lafz "Allah" ( whichs is Maarifah Mawsoof ) in an earlier Ayah " AlhamduliLLAHI Rabbil-Aaalameen", because the idhaafat-e-lafzi in "Maaliki Yaumid-Deen" does not result in the taareef or takhsees of the mudhaaf, "Maalik". So then, why and how does it become sifat? We understand that an idhaafat of a nakirah towards maarifah result in the taareef of the former, but even that doesnt work in case of idhaafat-e-lafzi, or does it? A counter-example could be of another verse from the Holy Quran which reads " Aarizun mumtirunaa". Here "mumtirun" is ism-faail whose idhaafat has been done towards dhameer majroor jama' mutakallim, which is actually in place of iyyaana ( dhameer mansoob munfasil ). Thus, this is again idhaafat-e-lafzi where a seegha of sifat ( mumtirun ) is made mudhaaf towards its maamool. This doesnt result in the taareef of mumtirun and hence, it does become sifat for "Aarizun". However, I stand corrected on this.... I hope my question is clear.