be no question of (doing) (something)

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be no question of (doing) (something)

To be no possibility that something will be done or is the case. (Note: Often confused with the phrase "be no question that" something will happen/is the case, which means that what is being discussed is absolutely certain.) For the record, in the eyes of this administration, there is no question of the Senator's being involved in any untoward business activities. If Justin's sales slump continues, there will be no question of a promotion any longer.
See also: of, question