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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _check_elementary_axis_name(name: str) -> bool: """ Valid elementary axes contain only lower latin letters and digits and start with a letter. """

    if len(name) == 0:
        return False
    if not 'a' <= name[0] <= 'z':
        return False
    for letter in name:
        if (not letter.isdigit()) and not ('a' <= letter <= 'z'):
            return False
    return True