Theorems · Theorem · field theory

Valuation.norm_nonneg

∀ {L : Type u_1} [inst : Field L] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] (v : Valuation L Γ₀)
  [hv : v.RankOne] (x : L), 0 ≤ v.norm x

Defined in: Mathlib.Topology.Algebra.Valued.NormedValued
Cited by: 0 results in Mathlib
Foundations: Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field LinearOrderedCommGroupWithZero Valuation.RankOne

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Realstatement · cited by 25,697
Fieldstatement and proof · cited by 7,404
Valuationstatement and proof · cited by 823
LinearOrderedCommGroupWithZerostatement and proof · cited by 528
Valuation.RankOnestatement and proof · cited by 32
Valuation.normstatement · cited by 7

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