When the root of a tree is cut and the tree falls down, its branches and twigs automatically dry up. Similarly, when I have killed this diplomatic Viṣṇu, the demigods, for whom Lord Viṣṇu is the life and soul, will lose the source of their life and wither away.
Srimad Bhagavata Purana
श्रीमद्भागवतमहापुराणम्
मूल श्लोकः
तस्मिन् कूटेऽहिते नष्टे कृत्तमूले वनस्पतौ । विटपा इव शुष्यन्ति विष्णुप्राणा दिवौकसः
tasmin kūṭe'hite naṣṭe kṛttamūle vanaspatau | viṭapā iva śuṣyanti viṣṇuprāṇā divaukasaḥ
SB 7.2.9