Theorems · Theorem · field theory
Polynomial.Gal.mapRoots_bijective
∀ {F : Type u_1} [inst : Field F] (p : Polynomial F) (E : Type u_2) [inst_1 : Field E] [inst_2 : Algebra F E]
[h : Fact (Polynomial.map (algebraMap F E) p).Splits], Function.Bijective (Polynomial.Gal.mapRoots p E)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- RingHomproof · cited by 10,189
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Set.Elemstatement and proof · cited by 7,166
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- Factstatement and proof · cited by 2,726
- Multiset.mapproof · cited by 876
- Function.Bijectivestatement · cited by 863
- Polynomial.mapstatement and proof · cited by 806
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Gal.rootsEquivRootsproof · cited by 6