Consider the statement
$$\min\|a+b\|\leq \min\|a\|+\min\|b\|$$
where the minimum is taken over some set $C$ for which $a,b\in C$. Is this statement true? If not, what is a counterexample?
2026-02-24 01:52:08.1771897928
Is the triangle inequality preserved when taking the minimum of both sides?
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