Theorems · Theorem · number theory
RatFunc.adicValuation_ne_inftyValuation
∀ {K : Type u_1} [inst : Field K] [inst_1 : DecidableEq (RatFunc K)]
(p : IsDedekindDomain.HeightOneSpectrum (Polynomial K)),
IsDedekindDomain.HeightOneSpectrum.valuation (RatFunc K) p ≠ RatFunc.inftyValuation K- Defined in
- Mathlib.NumberTheory.RatFunc.Ostrowski
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 162 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Multiplicativestatement · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement · cited by 586
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
- RatFuncstatement and proof · cited by 301
- IsDedekindDomain.HeightOneSpectrum.valuationstatement and proof · cited by 130
- RatFunc.inftyValuationstatement and proof · cited by 15
- Valuation.IsEquiv.reflproof · cited by 4
- RatFunc.adicValuation_not_isEquiv_infty_valuationproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.