Theorems · Definition · field theory
RatFunc.X
{K : Type u} → [inst : CommRing K] → [IsDomain K] → RatFunc KRatFunc.X is the polynomial variable (aka indeterminate).
- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 58 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialproof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- IsDomainstatement and proof · cited by 2,196
- Polynomial.Xproof · cited by 1,639
- RatFuncstatement and proof · cited by 301
Cited by61
Results whose statement or proof uses this declaration.
- RatFunc.uniformizingPolynomialstatement and proof · cited by 7
- RatFunc.valuationIdealstatement and proof · cited by 5
- RatFunc.setOfPred_polynomial_valuation_lt_one_and_ne_zero_nonemptystatement and proof · cited by 4
- RatFunc.algebraMap_monomialstatement and proof · cited by 4
- RatFunc.inftyValuation.Xstatement and proof · cited by 4
- RatFunc.algebraMap_Xstatement · cited by 3
- RatFunc.isAlgebraic_adjoin_simple_Xstatement · cited by 3
- Polynomial.valuation_X_eq_neg_onestatement · cited by 2
- Polynomial.valuation_le_one_of_valuation_X_le_onestatement and proof · cited by 2
- RatFunc.minpolyX_aeval_Xstatement and proof · cited by 2
- RatFunc.num_Xstatement · cited by 2
- RatFunc.adicValuation_not_isEquiv_infty_valuationproof · cited by 2