The key in the above video, IMO, is timing. The guy on the right did a set-up jab and looked like he was about to follow up with a straight right - In the beat between these two moves (a vulnerable time) the guy on the left struck with his own decisive attack and followed it up to its conclusion, not giving the other guy a chance to recover.
Had the guy on the left struck a micro-second sooner or later, his first punch would not have effectively interrupted the other guy's own timing (and mental balance). By the third step and punch, the other guy's physical balance was broken as well and the fight was effectively over half-way across the ring.