Theorems · Theorem · field theory
RatFunc.intDegree_polynomial
∀ {K : Type u} [inst : Field K] {p : Polynomial K}, ((algebraMap (Polynomial K) (RatFunc K)) p).intDegree = ↑p.natDegree- Defined in
- Mathlib.FieldTheory.RatFunc.Degree
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 132 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.
Cites13
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
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- Polynomial.natDegreestatement and proof · cited by 1,105
- sub_zeroproof · cited by 938
- RatFuncstatement and proof · cited by 301
- RatFunc.denomproof · cited by 59
- Polynomial.natDegree_oneproof · cited by 43
- RatFunc.intDegreestatement · cited by 18
- RatFunc.num_algebraMapproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- RatFunc.inftyValuation.polynomialproof · cited by 1
- RatFunc.valuation_eq_valuation_X_zpow_intDegree_of_one_lt_valuation_Xproof · cited by 1