This hadith is reported from Hudaifa by another chain of transmitters. Whenever he (the Holy Prophet) got up in the night, they (the transmitters) have not mentioned the words: for offering Tahajjud prayer.
Hadith ReferenceSahih Muslim / The Book of Purification / Hadith: 255
Hadith Gradingمحدثین:أحاديث صحيح مسلم كلها صحيحة
Hadith Takhrij«أحاديث صحيح مسلم كلها صحيحة ، تقدم تخريجه فى الحديث السابق برقم (592)»