Theorems · Theorem · field theory
Polynomial.Gal.restrict_surjective
∀ {F : Type u_1} [inst : Field F] (p : Polynomial F) (E : Type u_2) [inst_1 : Field E] [inst_2 : Algebra F E]
[inst_3 : Fact (Polynomial.map (algebraMap F E) p).Splits] [Normal F E],
Function.Surjective ⇑(Polynomial.Gal.restrict p E)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- MonoidHomstatement · cited by 3,629
- Factstatement and proof · cited by 2,726
- AlgEquivstatement · cited by 1,681
- Polynomial.mapstatement and proof · cited by 806
- Polynomial.Splitsstatement and proof · cited by 290
- Normalstatement and proof · cited by 92
- Polynomial.Galstatement · cited by 37
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.Gal.restrictDvd_surjectiveproof · cited by 1
- Polynomial.Gal.restrictComp_surjectiveproof · cited by 0