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The meaning of the name is: The Preventer
Al-Mani` wards off the causes of annihilation and diminution of creed and body by creating the means which protect it against annihilation and diminution. So, He creates some causes and prohibits others; He gives everything what serves its interests and prohibits what causes its damage. He makes some wealthy by giving them, and He stops giving to whomsoever He pleases to try them by affliction. He enriches and impoverishes; He makes some happy and some miserable; He grants some and withholds from others; He grants some and deprives others; so, He is both al-Mu`ti, the Giver, and al-Mani`, the One Who withholds.
أَمْ لَهُمْ آلِهَةٌ تَمْنَعُهُمْ مِنْ دُونِنَا ۚ لَا يَسْتَطِيعُونَ نَصْرَ أَنْفُسِهِمْ وَلَا هُمْ مِنَّا يُصْحَبُونَ Do they have gods besides Us to defend them? Neither can they help themselves, nor can they shield [the idolaters] from Us. Al-Anbiyaa : 43