Theorems · Theorem · number theory
RatFunc.adicValuation_not_isEquiv_infty_valuation
∀ {K : Type u_1} [inst : Field K] [inst_1 : DecidableEq (RatFunc K)]
(p : IsDedekindDomain.HeightOneSpectrum (Polynomial K)),
¬(IsDedekindDomain.HeightOneSpectrum.valuation (RatFunc K) p).IsEquiv (RatFunc.inftyValuation K)- Defined in
- Mathlib.NumberTheory.RatFunc.Ostrowski
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- one_ne_zeroproof · cited by 885
- Multiplicativestatement and proof · cited by 875
- zero_lt_oneproof · cited by 598
- WithZerostatement and proof · cited by 586
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
- RatFuncstatement and proof · cited by 301
- IsDedekindDomain.HeightOneSpectrum.valuationstatement and proof · cited by 130
- Valuation.IsEquivstatement · cited by 67
Cited by2
Results whose statement or proof uses this declaration.
- RatFunc.valuation_isEquiv_infty_or_adicproof · cited by 1
- RatFunc.adicValuation_ne_inftyValuationproof · cited by 0