Well exactly.. a millennium after being ridden (3500BC) they were used as beasts of burden (2500BC).. rather the opposite of your claim.
Unless you want to date the industrial revolution to 30 BCE when Vitruvius described the aeolipile, we can talk about the evidence of these technologies impact in society. For chariots that would be 1700 BCE and horseback riding well into iron age ~1000 BCE.