push ahead
phrasal verb with push verb uk/pʊʃ/ us
[ I or T ] (also push forward)
to continue with an activity in a determined or enthusiastic way, especially when it is difficult:
push ahead with sth
Now he's fully qualified he can push ahead his career.
[ I ] STOCK MARKET, FINANCE
to increase in value or price:
The shares pushed ahead 7p to 111.5p.