Theorems · Theorem · number theory
RatFunc.uniformizingPolynomial.congr_simp
∀ {K : Type u_1} {Γ : Type u_2} [inst : Field K] [inst_1 : LinearOrderedCommGroupWithZero Γ]
{v v_1 : Valuation (RatFunc K) Γ} (e_v : v = v_1) [inst_2 : v.IsNontrivial] [inst_3 : Valuation.IsTrivialOn K v]
(hle : v RatFunc.X ≤ 1), RatFunc.uniformizingPolynomial hle = RatFunc.uniformizingPolynomial ⋯- Defined in
- Mathlib.NumberTheory.RatFunc.Ostrowski
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Polynomialstatement · 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
- Valuation.IsTrivialOnstatement and proof · cited by 28
- Valuation.IsNontrivialstatement and proof · cited by 27
- RatFunc.uniformizingPolynomialstatement and proof · cited by 7
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