def METHOD_NAME(keys):
    ndims = len(keys[0])
    if ndims <= 1:
        return True
    for idx in range(ndims):
        getter = itemgetter(*(i for i in range(ndims) if i != idx))
        store = []
        for key in keys:
            subkey = getter(key)
            if subkey in store:
                return False
            store.append(subkey)
    return True