Theorems · Definition · field theory
Polynomial.Gal
{F : Type u_1} → [inst : Field F] → Polynomial F → Type u_1The Galois group of a polynomial.
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 152 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.
Cites4
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
- AlgEquivproof · cited by 1,681
- Polynomial.SplittingFieldproof · cited by 42
Cited by45
Results whose statement or proof uses this declaration.
- Polynomial.Gal.restrictstatement · cited by 10
- Polynomial.Gal.galActionHomstatement and proof · cited by 6
- Polynomial.Gal.extstatement and proof · cited by 5
- Polynomial.Gal.restrictDvdstatement · cited by 3
- gal_X_pow_isSolvablestatement · cited by 2
- Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_invstatement and proof · cited by 2
- Polynomial.Gal.restrictDvd_defstatement and proof · cited by 2
- Polynomial.Gal.restrict_surjectivestatement · cited by 2
- isSolvable_gal_minpolystatement and proof · cited by 2
- gal_C_isSolvablestatement · cited by 1
- gal_X_pow_sub_C_isSolvable_auxstatement and proof · cited by 1
- gal_X_pow_sub_one_isSolvablestatement and proof · cited by 1