Theorems · Theorem · field theory
Valuation.norm_eq_zero
∀ {L : Type u_1} [inst : Field L] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] (v : Valuation L Γ₀)
[hv : v.RankOne] {x : L}, v.norm x = 0 → x = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- MonoidWithZeroHom.ofClassproof · cited by 204
- MonoidWithZeroHom.ValueGroup₀.restrict₀proof · cited by 32
- Valuation.RankOnestatement and proof · cited by 32
- Valuation.RankOne.homproof · cited by 15
- Valuation.normstatement and proof · cited by 7
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