Let $(K,v)$ be a henselian valued field. i.e., $v$ is a henselian valuation on a field $K$. If the residue field of $(K,V)$ is perfect (every its algebriac extension is separable), is it true that $K$ is perfect? Thanks for any help
2026-03-28 17:25:42.1774718742
About the perfect residue fields of henselian valuations
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$\Bbb{F}_p[[t]]$ is Henselian.