The leader of the House of Commons made this claim about the government’s motion on its timetable for getting the withdrawal bill through parliament fast enough to leave the EU by 31 October. The motion was intended to push the bill through in three days. Many of those opposing it, such as the former cabinet ministers Philip Hammond and Rory Stewart, said they wanted to avoid a no-deal Brexit at the end of the transition period.
There was no evidence that the thwarting of the programme motion would prevent Brexit.
Jacob Rees-Mogg is famed for his expertise in parliamentary procedure. He was therefore in a position to know that his statement was false.