We should also note that Loewner's proof uses the Loewner differential equation which has been studied extensively since he introduced it, and was used by de Branges in his celebrated proof of the Bieberbach conjecture.
Kami ay dapat ding tandaan na ang Loewner ng patunay ay gumagamit ng Loewner kaugalian equation na kung saan ay na-aral nang husto dahil siya nagpasimula ng ito, at noon ay ginamit sa pamamagitan ng de Branges sa kanyang tanyag patunay ng Bieberbach haka-haka.