The full ritual bath for major ritual impurity suffices in place of the ablution for prayer

If a person is in a state of major ritual impurity and performs the full ritual bath, is it obligatory for him to perform the ablution for prayer after the bath?
If a person is in a state of major ritual impurity and performs the full ritual bath, the bath suffices for him in place of the ablution for prayer, even if he does not intend it.because of His saying, the Exalted: [Al-Ma'idah: 6], but it should be noted that rinsing the mouth and sniffing water into the nose are necessary in the full ritual bath for major ritual impurity.