Theorems · Theorem · commutative algebra
Valuation.Uniformizer.ne_zero
∀ {Γ : Type u_1} [inst : LinearOrderedCommGroupWithZero Γ] {A : Type u_2} [inst_1 : Ring A] {v : Valuation A Γ}
[hv : v.IsRankOneDiscrete] (π : v.Uniformizer), ↑π.val ≠ 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Valuation.Uniformizer.valstatement · cited by 10
- Valuation.Uniformizer.valuation_gt_oneproof · cited by 4
- Valuation.IsUniformizer.ne_zeroproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Valuation.exists_pow_Uniformizerproof · cited by 3