prevail in WordNet English dictionary

1. continue to exist
   "These stories die hard"; "The legend of Elvis endures"
   prevail  persist  die hard  run  endure 
   
2. be larger in number, quantity, power, status or importance
   "Money reigns supreme here"; "Hispanics predominate in this neighborhood"
   predominate  dominate  rule  reign  prevail 
   
3. be valid, applicable, or true
   "This theory still holds"
   prevail  hold  obtain 
   
4. use persuasion successfully
   "He prevailed upon her to visit his parents"
   prevail 
   
5. prove superior
   "The champion prevailed, though it was a hard fight"
   prevail  triumph