<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def allFileExists(fileList):
 """Check that all file exists. :param fileList: the list of file to check. :type fileList: list Check if all the files in ``fileList`` exists. """

    allExists = True
    for fileName in fileList:
        allExists = allExists and os.path.isfile(fileName)
    return allExists