ScalingStacks

Corollary 2.49. For any $k$-affinoid algebra $\mathcal{A}$, there exists a multi-radius $\boldsymbol{r}_{I}=(r_{i})_{i\in I}$ such that $\{\alpha(\log r_{i})\}_{i\in I}$ are $\mathbb{Q}$-linearly independent and $K_{\boldsymbol{r}_{I}}\widehat{\otimes}_{k}\mathcal{A}$ is a $K_{\boldsymbol{r}_{I}}$-strict affinoid algebra. ([Ber, Proposition 2.1.2])