Natural valuation has a convex valuation ring, in fact the valuation ring is the convex hull of $\mathbb{Z}$.
How to prove that every ordered field $K$ has a natural valuation $v$, whose residue field is an archimedean ordered field.
Natural valuation has a convex valuation ring, in fact the valuation ring is the convex hull of $\mathbb{Z}$.
How to prove that every ordered field $K$ has a natural valuation $v$, whose residue field is an archimedean ordered field.
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