Theorems · Theorem · commutative algebra
Valuation.Uniformizer.ext_iff
∀ {Γ : Type u_1} {inst : LinearOrderedCommGroupWithZero Γ} {A : Type u_2} {inst_1 : Ring A} {v : Valuation A Γ}
{hv : v.IsRankOneDiscrete} {x y : v.Uniformizer}, x = y ↔ x.val = y.val- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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 and proof · cited by 10
- Valuation.Uniformizer.extproof · cited by 1
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