Theorems · Theorem · field theory
RatFunc.valuation_surjective
∀ (K : Type u_1) [inst : Field K], Function.Surjective ⇑Valued.v
- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- mul_oneproof · cited by 3,885
- map_zeroproof · cited by 1,614
- Multiplicativestatement and proof · cited by 875
- Valuationstatement · cited by 823
- WithZerostatement and proof · cited by 586
- inv_invproof · cited by 494
- RatFuncstatement and proof · cited by 301
- zpow_negproof · cited by 198
- Valued.vstatement and proof · cited by 163
- IsDedekindDomain.HeightOneSpectrum.valuationproof · cited by 130
Cited by2
Results whose statement or proof uses this declaration.
- LaurentSeries.valuation_compareproof · cited by 3
- LaurentSeries.inducing_coeproof · cited by 1