Theorems · Theorem · field theory
Valuation.norm_pos_iff_valuation_pos
∀ {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 ↔ 0 < v x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Valuation.RankOnestatement and proof · cited by 32
- NNReal.coe_lt_coeproof · cited by 21
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