Does swallowing saliva mixed with the taste of toothpaste after rinsing the mouth invalidate the fast and the prayer?

The presence of a toothpaste taste in the saliva indicates that some of its substance remains. Therefore, if you intentionally swallow your saliva while the taste of toothpaste is present, your fast is invalidated. However, if the swallowing of saliva was unintentional, then the fast remains valid. As for swallowing the aforementioned saliva during prayer, it does not invalidate the prayer.