Conceded_state_of_affairs

A proposition or set of propositions that the speaker wants the addressee to believe or take for granted. This statement is not asserted, but presupposed by the speaker of the sentence, and is mentioned to contrast with the Main_assertion. It would or could seem to predict a situation different than the Main_assertion, but, for reasons left implicit, this normal prediction is contradicted by the fact that the Main_assertion and the Conceded_state_of_affairs are both simultaneously true.