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Theorems · Theorem · commutative algebra

Valuation.IsUniformizer.val_pos

∀ {Γ : Type u_1} [inst : LinearOrderedCommGroupWithZero Γ] {A : Type u_2} [inst_1 : Ring A] {v : Valuation A Γ}
  [hv : v.IsRankOneDiscrete] {π : A}, v.IsUniformizer π → 0 < v π
Defined in
Mathlib.RingTheory.Valuation.Discrete.Basic
Cited by
1 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderedCommGroupWithZeroRingValuation.IsRankOneDiscrete
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Valuation.exists_pow_Uniformizer · cited by 3Valuation.exists_pow_Unif…DFunLike.coe · cited by 62936DFunLike.coeRing · cited by 7463RingValuation · cited by 823ValuationLinearOrderedCommGroupWithZero · cited by 528LinearOrderedCommGroupWit…Valuation.IsRankOneDiscrete · cited by 53Valuation.IsRankOneDiscre…Valuation.IsRankOneDiscrete.generator · cited by 24IsRankOneDiscrete.generat…Valuation.IsUniformizer · cited by 22Valuation.IsUniformizerValuation.IsUniformizer.iff · cited by 3IsUniformizer.iffIsUniformizer.val_posCITED BYCITES

Cites8

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Cited by1

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