Theorems · Definition · field theory
Polynomial.HasSeparableContraction.degree
{F : Type u_1} → [inst : CommSemiring F] → {q : ℕ} → {f : Polynomial F} → Polynomial.HasSeparableContraction q f → ℕThe separable degree of a polynomial is the degree of a given separable contraction.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.HasSeparableContractionstatement and proof · cited by 8
- Polynomial.HasSeparableContraction.contractionproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.HasSeparableContraction.dvd_degree'statement · cited by 2
- Polynomial.HasSeparableContraction.dvd_degreestatement and proof · cited by 1
- Polynomial.HasSeparableContraction.eq_degreestatement and proof · cited by 1
- Polynomial.HasSeparableContraction.natSepDegree_eqstatement · cited by 1
- Polynomial.IsSeparableContraction.degree_eqstatement · cited by 0