Consider following circuit
At t=0 I can wrap my mind around the fact that Vout equals whatever value the highest phase has since the others are negative or zero. But after that only one of the three phases has a zero voltage value. Blue is rising while red is falling. Why isnt the output here blue + red? Since purple is negative, the diode should block any current from flowing but the others are positive.
How can I mathematically prove that Vout is always equal to whatever the highest value of the voltage is? Whenever I watch a video about it, they always say "highest voltage wins" with no explanation.
Maybe its too trivial but could someone help me anyways?