I was referring to the verb to proceed as in to go on, continue or begin a course of action and not to proceed as in to advance or go somewhere as in the following contexts:
- I lost funding but I will proceed with the experiments anyway.
- Despite opposition, they proceeded with the plan.
- The judge said that we will proceed to the trial's second phase.
- We are unable to proceed with the project due to the lack of resources.
- Without money, we can't proceed.