How do we go from $d(x,x') \le d(x,y) +d(y,y') +d(y',x')$ to $d(x,x') \ge d(y,y') -d(x,y)-d(y',x')$?
I am not sure how to proceed here.
2026-04-07 09:46:02.1775555162
How do we go from $d(x,x') \le d(x,y) +d(y,y') +d(y',x')$ to $d(x,x') \ge d(y,y') -d(x,y)-d(y',x')$?
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Subtract $d(x,y)$ and $d(y',x')$ from both sides of your original inequality, and then relabel all $x,x'$ as $y,y'$ and vice versa.