This hadith has been narrated on the authority of al-A'mash with the same chain of transmitters.
Sahih Muslim Book 39, Hadith 187
← Previous Hadith We were with Allah's Messenger (ﷺ) in a cave when there was revealed to him (the Sura al-Mursalat, i. e. Sura lxxvii.:" By those sent forth to spread goodness" ) and we had just heard (it) from his lips that there appeared before us a snake. He said: Kill it. We hastened to kill it, but it slipped away from us, thereupon Allah's Messenger (ﷺ) said: Allah saved it from your harm just as he saved you from its evil.

Sahih Muslim Book 39, Hadith 186 Next Hadith → 'Abdullah reported that Allah's Messenger (ﷺ) commanded a Muhrim (one who is in the state of pilgrimage) to kill the snake at Mina.

Sahih Muslim Book 39, Hadith 188