  Let us say that a model of $\mathsf{ZF}$ is a symmetric ground if $V$ is a
symmetric extension of the model. In this paper, we investigate set-theoretic
geology of symmetric grounds. Under a certain assumption, we show that all
symmetric grounds of $V$ are uniformly definable. We also show that if
$\mathsf{AC}$ is forceable over $V$, then the symmetric grounds are downward
directed.
