To begin, continue, or move ahead with some action or undertaking. Now that we have secured planning permission from the city, we can proceed with construction as planned. After the squatters' appeal was overturned by the Supreme Court, the company proceeded with evicting them from the empty warehouses.
proceed with something
to move ahead with something; to continue something. Now, we will proceed with the reading of the minutes of the last meeting. When will you proceed with the needed action?
To begin or continue some action or process: The company proceeded with its plan to fire the workers, despite opposition from the union.