Does unintentionally washing part of a limb from the ablution-performing limbs in the wrong place invalidate the ablution, and what are the things that invalidate ablution during its performance?

Washing an ablutionary limb unintentionally out of its proper sequence does not invalidate ablution, nor does it affect the validity of washing the limbs preceding it, as long as the ablution was performed completely and in the correct order. Similarly, if someone intended to interrupt their ablution then resumed it shortly thereafter, their ablution remains valid as long as all the purification actions were performed with intention and in succession. If someone washed some of their limbs with the intention of cooling down, then rewashed them with the intention of ablution before a long interval passed, that suffices.