to continue, to carry on
Tom no está seguro cómo proseguir.
Tom isn't sure how to proceed.
Ahora ya te has vengado y podrás proseguir con tus estudios, ¿no?
Now you've gotten your revenge and you can continue with your studies, right?
— Fearless - Sin miedo (2006)
No tenemos más opción que proseguir.
We have no other option but to continue.