Guys, it is getting very repititious. If TGray can understand things perfectly, what is happening to you guys?
I have no trouble to understand that D50 is not D65.
ProPhoto's white is not contained in AdobeRGB's white and vice versa.
Likewise sRGB is also not fully contained in ProPhoto (have you plotted the 2 sRGB profiles I've posted above?)
A sheet of white paper looks different under tungsten and under daylight...
... unless your eyes adopt to the different lighting conditions.
After adaption to the different lighting conditions the white paper will look "the same".