Rather than defining ā§ ā§ $wedge$ by using $phantom{rule{thickmathspace}{0ex}} phantom{rule{thickmathspace}{0ex}}$, I would define $phantom{rule{thickmathspace}{0ex}} phantom{rule{thickmathspace}{0ex}}$ using ⨠⨠$vee$, and get rid of all those arrows. Once you have just ¬, ⧠¬, ā§ $mathrm{neg },wedge$ and ⨠⨠$vee$, simplification is a bit easier than expressions …
