When aligning 2 equations leaves gaps in shorter equation, can I center the shorter bits?

Hi there!
I think this forum post might help you.
So this is what I got without spending too much time on it. It is not perfect by any means, but at least a little better than before (I hope):

$
  cases(
    &2^2 & =4 <=> 4^(1/2) & =2=sqrt(4),
    2 & dot 2 & =4 <=> op("") 4/2 & =2=4 dot 1/2
  )
$

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