Is the entire prayer rug ruled ritually pure after being cleaned with a brush and water in an ordinary manner, despite being stained with the daughter's vomit in various places before cleaning?

If the vomit is slight or unchanged, it is not considered impure according to some scholars. However, if it is much and changed, it must be purified. If water is poured on the impure spot of the prayer rug, it becomes pure. But if one only wipes it without pouring water, that is not sufficient to purify it; rather, the water mixed with the impurity will contaminate whatever it touches. The more cautious approach is to purify the entire rug by washing it with water. If the location of the impurity on a garment or carpet, or the like, is unknown, then one must purify what brings certainty or strong presumption that the impurity has been removed.