# Orthogonal Procrustes Problem Proof

I'm going through the proof for the Orthogonal Procrustes problem and I was able to derive all but the last few steps.

Namely, the implication from lines $6 \Rightarrow7 \Rightarrow 8$ (I was able to derive $1 \Rightarrow 6$). I got confused when $\Omega'$ is introduced.