Theorems · Definition · commutative algebra
Valuation.Uniformizer.val
{Γ : Type u_1} →
[inst : LinearOrderedCommGroupWithZero Γ] →
{A : Type u_2} → [inst_1 : Ring A] → {v : Valuation A Γ} → [hv : v.IsRankOneDiscrete] → v.Uniformizer → ↥v.integerThe integer underlying a Uniformizer
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- Subringstatement · cited by 602
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Valuation.integerstatement · cited by 68
- Valuation.IsRankOneDiscretestatement and proof · cited by 53
- Valuation.Uniformizerstatement and proof · cited by 12
Cited by10
Results whose statement or proof uses this declaration.
- Valuation.Uniformizer.valuation_gt_onestatement · cited by 4
- Valuation.Uniformizer.is_generatorstatement and proof · cited by 4
- Valuation.exists_pow_Uniformizerstatement and proof · cited by 3
- Valuation.ideal_isPrincipalproof · cited by 1
- Valuation.Uniformizer.ne_zerostatement · cited by 1
- Valuation.Uniformizer.extstatement and proof · cited by 1
- Valuation.Uniformizer.ext_iffstatement and proof · cited by 0
- Valuation.isUniformizer_of_maximalIdeal_eq_spanproof · cited by 0
- IsDedekindDomain.HeightOneSpectrum.intValuation_uniformizerstatement · cited by 0
- Valuation.pow_Uniformizer_is_pow_generatorstatement and proof · cited by 0