Theorems · Definition · field theory
Polynomial.Gal.restrictComp
{F : Type u_1} → [inst : Field F] → (p q : Polynomial F) → q.natDegree ≠ 0 → (p.comp q).Gal →* p.GalPolynomial.Gal.restrict for the composition of polynomials.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- MonoidHomstatement · cited by 3,629
- Factproof · cited by 2,726
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.mapproof · cited by 806
- Polynomial.Splitsproof · cited by 290
- Polynomial.compstatement and proof · cited by 193
- Polynomial.SplittingFieldproof · cited by 42
- Polynomial.Galstatement · cited by 37
- Polynomial.Gal.restrictproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Gal.restrictComp_surjectivestatement · cited by 0