Mr. Trump’s friends did not bother denying that the president was creating an alternative version of events. One Republican lawmaker, who asked not to be identified, said that Mr. Trump’s false statements had become familiar to people over time. The president continues to boast of winning districts that he did not in fact win, the lawmaker said, and of receiving 52 percent of the women’s vote, even though exit polls show that 42 percent of women supported him.