Aún no tenemos significados para "assert a fact".
1He said it not as though he asked her a question, but as one asserting a fact.
2"You are from Orleans," he said respectfully enough, but as one asserting a fact, not asking a question.
3"She went to Paris," she said, in the tone of one asserting a fact that no one could dispute.
4"It cannot be so," he said, with a firm determined voice, as though asserting a fact which admitted no doubt.