If the House doesn't complete it's role, has the President truly been impeached?
No. Articles of impeachment have been drawn up, until they are sent over to the Senate he has not. The house of reprehensibles makes up the charges (articles of impeachment) Then the Senate votes either to impeach him or not to. The lying media has created a fake narrative that he has already been impeached. Of course 99% of people these days would fail even the most basic of grade school level civics classes.