This Ayah is used to prove that slaughtered animals are not lawful when Allah's Name is not mentioned over them -- even if slaughtered by a Muslim. The Ayah about hunting game,
﴿فَكُلُواْ مِمَّآ أَمْسَكْنَ عَلَيْكُمْ وَاذْكُرُواْ اسْمَ اللَّهِ عَلَيْهِ﴾
(So eat of what they (trained hunting dogs or birds of prey) catch for you, but pronounce the Name of Allah over it.) ﴿5:4﴾ supports this. The Ayah here emphasized this ruling, when Allah said,
(for surely it is disobedience.) They say that "it'' refers to eating it, and others say that it refers to the sacrifice for other than Allah. There are various Hadiths that order mentioning Allah's Name when slaughtering and hunting. The Hadith narrated by `Adi bin Hatim and Abu Tha`labah (that the Prophet said);
«إِذَا أَرْسَلْتَ كَلْبَكَ الْمُعَلَّمَ وَذَكْرتَ اسْمَ اللهِ عَلَيْهِ فَكُلْ مَا أَمْسَكَ عَلَيْك»
(When you send your trained hunting dog and mention Allah's Name on releasing it, then eat from whatever it catches for you.) This Hadith was collected in the Two Sahihs. The Rafi` bin Khadij narrated that the Prophet said;
«مَا أَنْهَرَ الدَّمَ وَذُكِرَ اسْمُ اللهِ عَلَيْهِ فَكُلُوه»
(You can use what would make blood flow (i. e., slaughter) and you can eat what is slaughtered and the Name of Allah is mentioned at the time of slaughtering.) This Hadith was also collected in the Two Sahihs. Ibn Mas`ud narrated that Allah's Messenger said to the Jinns.
«لَكُمْ كُلُّ عَظْمٍ ذُكِرَ اسْمُ اللهِ عَلَيْه»
((For food) you have every bone on which Allah's Name was mentioned on slaughtering.) Muslim collected this Hadith. Jundub bin Sufyan Al-Bajali said that the Messenger of Allah said,
«مَنْ ذَبَحَ قَبْلَ أَنْ يُصَلِّيَ فَلْيَذْبَحْ مَكَانَهَا أُخْرَى، وَمَنْ لَمْ يَكُنْ ذَبَحَ، حَتَّى صَلَّيْنَا فَلْيَذْبَحْ بِاسْمِ الله»
(Whoever slaughtered before he prayed (the `Id prayer), let him slaughter another sacrifice in its place. Whoever did not offer the sacrifice before we finished the prayer, let him slaughter and mention Allah's Name.) The Two Sahihs recorded this Hadith.