Theorems · Theorem · number theory
RatFunc.valuation_isEquiv_valuationIdeal_adic_of_valuation_X_le_one
∀ {K : Type u_1} {Γ : Type u_2} [inst : Field K] [inst_1 : LinearOrderedCommGroupWithZero Γ]
{v : Valuation (RatFunc K) Γ} [inst_2 : v.IsNontrivial] [inst_3 : Valuation.IsTrivialOn K v] (hle : v RatFunc.X ≤ 1)
[v.IsRankOneDiscrete],
v.IsEquiv (IsDedekindDomain.HeightOneSpectrum.valuation (RatFunc K) (RatFunc.valuationIdeal hle))- Defined in
- Mathlib.NumberTheory.RatFunc.Ostrowski
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites45
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.valuation_isEquiv_adic_of_valuation_X_le_oneproof · cited by 1