= Semistable holomorphic vector bundle
{title2=$\mu(F)\le\mu(E)\text{ for every }0\ne F\subsetneq E$}
A positive-rank <holomorphic vector bundle> on a <compact Riemann surface> is semistable when every nonzero proper <holomorphic subbundle> has slope at most its own. Equivalently one tests coherent subsheaves: saturation on a smooth curve preserves rank, increases degree, and gives a subbundle with torsion-free quotient. Strict inequality defines stability, which is stronger.
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