Theorems · Theorem · number theory
RatFunc.uniformizingPolynomial_ne_zero
∀ {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),
RatFunc.uniformizingPolynomial hle ≠ 0- Defined in
- Mathlib.NumberTheory.RatFunc.Ostrowski
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Set.ofPredproof · cited by 6,101
- Polynomialstatement and proof · cited by 5,681
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- RatFuncstatement and proof · cited by 301
- RatFunc.Xstatement and proof · cited by 58
- WellFounded.minproof · cited by 33
- Valuation.IsTrivialOnstatement and proof · cited by 28
- Valuation.IsNontrivialstatement and proof · cited by 27
- WellFounded.min_memproof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- RatFunc.exists_zpow_uniformizingPolynomialproof · cited by 1
- RatFunc.uniformizingPolynomial_isUniformizerproof · cited by 1