Theorems · Theorem · field theory
Polynomial.HasSeparableContraction.dvd_degree
∀ {F : Type u_1} [inst : CommSemiring F] {q : ℕ} {f : Polynomial F} (hf : Polynomial.HasSeparableContraction q f),
hf.degree ∣ f.natDegreeThe separable degree divides the degree.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 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.
Cites7
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.natDegreestatement and proof · cited by 1,105
- Dvd.introproof · cited by 26
- Polynomial.HasSeparableContractionstatement and proof · cited by 8
- Polynomial.HasSeparableContraction.degreestatement and proof · cited by 5
- Polynomial.HasSeparableContraction.dvd_degree'proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Irreducible.natSepDegree_dvd_natDegreeproof · cited by 0