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Theorems · Definition · field theory

NormedField.valuation

{K : Type u_1} → [hK : NormedField K] → [IsUltrametricDist K] → Valuation K NNReal

The valuation on a nonarchimedean normed field K defined as nnnorm.

Defined in
Mathlib.Topology.Algebra.Valued.NormedValued
Cited by
6 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedFieldIsUltrametricDist

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Cited by7

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