1. to continue with a course of action
2. to move forward or onward
3. to begin or continue after a pause

Examples

• The meeting will proceed as scheduled despite the weather.
• Please proceed to the next question on the exam.
• The construction crew proceeded with the building project.
• After checking his notes, the professor proceeded with the lecture.
• The parade proceeded down Main Street.
• We cannot proceed without proper authorization.
• The investigation will proceed once new evidence is found.