ensue, result - issue or terminate (in a specified way, state, etc.); end; "result in tragedy"

postdate, follow - be later in time; "Tuesday always follows Monday"

follow - be next; "Mary plays best, with John and Sue following"

accede, enter - take on duties or office; "accede to the throne"

supersede, supervene upon, supplant, replace - take the place or move into the position of; "Smith replaced Miller as CEO after Miller left"; "the computer has supplanted the slide rule"; "Mary replaced Susan as the team's captain and the highest-ranked player in the school"