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Theorems · Definition · commutative algebra

Valuation.IsRankOneDiscrete.rankOne

{Γ : Type u_1} →
  [inst : LinearOrderedCommGroupWithZero Γ] →
    {R : Type u_2} →
      [inst_1 : Ring R] → (v : Valuation R Γ) → [hv : v.IsRankOneDiscrete] → {e : NNReal} → 1 < e → v.RankOne

A discrete valuation has rank one.

Defined in
Mathlib.RingTheory.Valuation.Discrete.RankOne
Cited by
0 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderedCommGroupWithZeroRingValuation.IsRankOneDiscrete
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Ring · cited by 7463RingNNReal · cited by 4310NNRealValuation · cited by 823ValuationLinearOrderedCommGroupWithZero · cited by 528LinearOrderedCommGroupWit…Valuation.IsRankOneDiscrete · cited by 53Valuation.IsRankOneDiscre…Valuation.RankOne · cited by 32Valuation.RankOneIsRankOneDiscrete.rankOneCITED BYCITES

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