Suppose I have the following antisymmetric wavefunction $\lvert r_1\rangle\lvert r_2\rangle-\lvert r_2\rangle\lvert r_1\rangle$ Then suppose I pick points $r_1=a$ and $r_2=b$, I get amplitudes $c,d$ for the 1st state respectively at those points, and $e,f$ for the 2nd state respectively. Now for the antisymmetric wavefunction, the amplitudes at the coordinates $(a,b)$ will be given by the difference of the ampltudes $cd-ef$ which is not zero in general.
However if I pick the points $r_1=r_2=a$, then I get $cd-cd=0$, therefore showing pauli exclusion. Does that suggests the amplitude of the…