The phrase "go ahead of" means to move in front of something or someone. Some synonyms for this are: precede, lead, surpass, outstrip, outrank, dominate, excel, outdo, and top. Each of these words suggests the idea of being in front of someone or something else, whether in a physical sense or in an achievement or ranking sense. These synonyms can be applied in a variety of situations, such as in sports, academics, or business. To "go ahead of" is to be ahead of the game, and using these synonyms can help convey that sense of superiority or accomplishment.