Theorems · Theorem · commutative algebra

Valuation.IsRankOneDiscrete.generator_ne_zero

∀ {Γ : Type u_1} [inst : LinearOrderedCommGroupWithZero Γ] {A : Type u_2} [inst_1 : Ring A] (v : Valuation A Γ)
  [inst_2 : v.IsRankOneDiscrete], ↑(Valuation.IsRankOneDiscrete.generator v) ≠ 0

Defined in: Mathlib.RingTheory.Valuation.Discrete.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: LinearOrderedCommGroupWithZero Ring Valuation.IsRankOneDiscrete

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Ringstatement and proof · cited by 7,463
Units.valstatement · cited by 1,966
Valuationstatement and proof · cited by 823
LinearOrderedCommGroupWithZerostatement and proof · cited by 528
Valuation.IsRankOneDiscretestatement and proof · cited by 53
Valuation.IsRankOneDiscrete.generatorstatement and proof · cited by 24

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