Theorems · Theorem · commutative algebra
IsDiscreteValuationRing.addVal_uniformizer
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] [inst_2 : IsDiscreteValuationRing R] {ϖ : R},
Irreducible ϖ → (IsDiscreteValuationRing.addVal R) ϖ = 1- Cited by
- 6 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- ENatstatement · cited by 4,985
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- IsDomainstatement and proof · cited by 2,196
- pow_oneproof · cited by 894
- Irreduciblestatement and proof · cited by 496
- IsDiscreteValuationRingstatement and proof · cited by 117
- AddValuationstatement · cited by 96
- IsDiscreteValuationRing.addValstatement and proof · cited by 22
- IsDiscreteValuationRing.addVal_defproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Ring.ord_eq_addValproof · cited by 3
- IsDiscreteValuationRing.intValuation_maximalIdealproof · cited by 3
- IsDiscreteValuationRing.addVal_eq_zero_iffproof · cited by 0
- Ring.ordFrac_irreducibleproof · cited by 0
- Irreducible.addVal_powproof · cited by 0
- IsDiscreteValuationRing.addVal_eq_iff_associatedproof · cited by 0