Theorems · Theorem · number theory
RatFunc.uniformizingPolynomial_isUniformizer
∀ {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)
[hv : v.IsRankOneDiscrete], v.IsUniformizer ↑(RatFunc.uniformizingPolynomial hle)- Defined in
- Mathlib.NumberTheory.RatFunc.Ostrowski
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites43
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
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- map_zeroproof · cited by 1,614
- one_ne_zeroproof · cited by 885
- map_oneproof · cited by 861
- Valuationstatement and proof · cited by 823
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.valuation_isEquiv_valuationIdeal_adic_of_valuation_X_le_oneproof · cited by 1