prevail

be larger in number, quantity, power, status or importance; "Money reigns supreme here"; "Hispanics predominate in this neighborhood"

be valid, applicable, or true; "This theory still holds"

continue to exist; "These stories die hard"; "The legend of Elvis endures"

prove superior; "The champion prevailed, though it was a hard fight"

use persuasion successfully; "He prevailed upon her to visit his parents"