From Longman Dictionary of Contemporary Englishproceed to something phrasal verb formalif you proceed to the next part of an activity, job etc, you do or take part in the next part of it SYN go on to players who proceed to the finals of the competition → proceed→ See Verb table
Examples from the Corpus
proceed to • These begin with the girly accessories of dollies and dollies' accessories and proceed to clothes and fashion.From Longman Business Dictionaryproceed to something phrasal verb [transitive] to move to the next stage of a plan, meeting etcWe will conduct a cost-benefit analysis before proceeding to a full hearing. → proceed→ See Verb table 