Let $\|\ \|_{1}$ and $\|\ \|_{2}$ be algebraic metrics of the line bundle $L$ over the proper scheme $X$ over $K$. Then $\|\ \|:=\min(\|\ \|_{1},\|\ \|_{2})$ is an algebraic metric on $L$. If ${\|\hskip 4.30554pt\|}_{1}$ and ${\|\hskip 4.30554pt\|}_{2}$ are semipositive in $x\in{X^{\rm an}}$, then ${\|\hskip 4.30554pt\|}$ is semipositive in $x$.