What does it mean by the judgment $\gamma \vdash_\mathcal{r} k$, where $\gamma$ is a finite set of basic judgments, $k$ is a basic judgment and $\mathcal{r}$ is a set of rules?

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What does it mean by the judgment $\gamma \vdash_\mathcal{r} k$, where $\gamma$ is a finite set of basic judgments, $k$ is a basic judgment and $\mathcal{r}$ is a set of rules?
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