The "Without angels, there would be no Islam" statement is not true about Islam. Certainly, there is not any condition or argument about the existence of Islam in the book of Islam or anywhere else.
Explanation:
Believing in angels is part of the Islamic religious creed, which is one of the principles of faith. According to this, the person who does not believe in the existence of angels in the Islamic religion and the angelic view of the Islamic religion would not have believed. The subject is mentioned in the Koran in 2/285 and 2/177.In Islamic religion, angels are described as beings who do not eat, drink, have no masculinity and femininity, do not sleep, do not sin, are invisible, and are from the light. Their mission is to watch Allah in the name of Allah and to see Allah's might and works of art in those genres, to worship and praise Allah from all shortcomings. In addition, they are obliged to present to Allah the worship of Allah, other than the human beings. In addition, they have the duty to inspire the tasks of animals and plants and to intervene in their movements with will and to regulate their positions in some way. According to Islamic belief, these duties of angels are their worship. They have no real savings on the creature. What they do is that they want God to create the result, only by praying against their Lord. This is a requirement of the faith of tawheed(the power of trust or accepting the God) in Islam. According to the belief in tawheed(the power of trust or accepting the God), all things in the universe are created by Allah(God). The will of all human beings, angels, and the like to do with the will of the creation of what is intended to be made of the body consists of soliciting from God. According to Islam, angels have wills. But unlike human beings, they have no will to oppose God's command; it only fulfills what is ordered by its own will. Therefore, they are sinless beings. The authorities are fixed for the same reason. In Islam, the numbers and types of angels are not fully specified in the Koran. Nevertheless, some of the angels and their duties are mentioned in the Koran. In Islam there are four archangels, which are referred to as four great angels. These are: Jabrail, Mikail, Israfa and the Angel of Death (Azrail).
As seen above, the angels are the one of the main components of Islam but nowhere it was claimed that without angels Islam will not exist. It could be said that angels are the most important hands of the God.
