Srimad Bhagavatam Canto 07, Chapter 02, Text 09

SB 7.2.9

tasmin kute ’hite naste
 krtta-mule vanas-patau
vitapa iva susyanti
 visnu-prana divaukasah
 
Translation by His Divine Grace A. C. Bhaktivedanta Swami Srila Prabhupada: 
 
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 Visnu, the demigods, for whom Lord Visnu is the life and soul, will lose the source of their life and wither away.
 
Purport by His Divine Grace A. C. Bhaktivedanta Swami Srila Prabhupada: 
 
The difference between the demigods and the demons is here explained. The demigods always follow the instructions of the Supreme Personality of Godhead, whereas the demons simply plan to disturb or kill Him. Nevertheless, sometimes the demons very much appreciate the full dependence of the demigods upon the mercy of the Lord. This is indirect glorification of the demigods by the demons.
Srimad Bhagavatam Canto 07, Chapter 02, Text 07-08
Srimad Bhagavatam Canto 07, Chapter 02, Text 10