Methods for replacing native valve function of a diseased aortic valve are disclosed. In an embodiment, a method for replacing native valve function of a diseased aortic valve in a patient includes: (a) receiving an artificial heart valve assembly mounted about a first mounting position on a catheter system, (b) guiding the artificial heart valve assembly through the vasculature of the patient, (c) while the catheter system having the artificial heart valve assembly mounted thereto is in the patient's vasculature, mounting the artificial heart valve assembly about a second mounting position on the catheter system, (d) delivering the artificial heart valve assembly to the region of the diseased aortic valve, (e) expanding the artificial heart valve assembly in the region of the diseased aortic valve, and (f) withdrawing the catheter system from the patient's vasculature.