Follow on from
Definition 1 of 2
Pro Tip 1/3Causal Connection
Emphasizes that one event directly influences the next. 
Enrollment numbers soared, following on from the school's improved reputation.
Pro Tip 2/3Sequential Importance
Signifies that the following event is a significant part of a sequence. 
His speech followed on from his election victory.
Pro Tip 3/3Reflective Response
Used when behavior or action is a reflection on earlier events. 
Their new policy clearly followed on from public demand.