How are these expressions $\leq$ and not $=$?

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I am looking at these rules. When the estimated values equal the expectations, wouldn't the terms in each case equal to each other instead of left $\leq$ right? Am I missing something here?

lms

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Consider the simlar formulation

$x^2$ is minimized when $x=0$. $0^2\le x^2$ for all $x$.