Theorems · Theorem · field theory
Polynomial.IsSeparableContraction.natSepDegree_eq
∀ {F : Type u} [inst : Field F] {f g : Polynomial F} {q : ℕ} [ExpChar F q],
Polynomial.IsSeparableContraction q f g → f.natSepDegree = g.natDegreeIf g is a separable contraction of f, then the separable degree of f is equal to
the degree of g.
- Defined in
- Mathlib.FieldTheory.SeparableDegree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.natDegreestatement and proof · cited by 1,105
- ExpCharstatement and proof · cited by 276
- Polynomial.Separableproof · cited by 117
- Polynomial.expandproof · cited by 90
- Polynomial.natSepDegreestatement and proof · cited by 53
- Polynomial.IsSeparableContractionstatement and proof · cited by 7
- Polynomial.natSepDegree_expandproof · cited by 4
- Polynomial.Separable.natSepDegree_eq_natDegreeproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.HasSeparableContraction.natSepDegree_eqproof · cited by 1