That would be interesting. I personally thought of that possibility. Look, I'm obliged to refer to Germany again because this is exactly what they have, the so-called famous vote of constructive no confidence. In order to avoid an election being held, they do two things at the same time. They topple the chancellor, but they elect a new chancellor on the same stroke, so that if the opposition parties cannot agree among themselves on the new Prime Minister, the government will continue to stay on.
We do not have this. But nothing would prevent, I think, the House of Commons from adopting a motion to that effect. As we are dealing with conventions and as we are in grey areas, I see nothing in the law of Parliament--and I probably stand to be contradicted by people more familiar with the rules than I am--but I'm pretty much under the impression that such a scenario would be admissible. It would certainly create a very interesting pressure on Her Excellency not to accept a possible request of dissolution from a defeated Prime Minister and to instead appoint as Prime Minister, without an election to be called, the new Prime Minister designated in the motion.
Am I clear?