Theorems · Theorem · field theory
gal_X_pow_sub_one_isSolvable
∀ {F : Type u_1} [inst : Field F] (n : ℕ), Group.IsSolvable (Polynomial.X ^ n - 1).Gal- Defined in
- Mathlib.FieldTheory.AbelRuffini
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 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.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingproof · cited by 17,173
- Algebraproof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- IsDomainproof · cited by 2,196
- Polynomial.Xstatement and proof · cited by 1,639
- pow_zeroproof · cited by 1,094
- sub_selfproof · cited by 996
- Polynomial.aevalproof · cited by 615
- Module.IsTorsionFreeproof · cited by 600
- map_subproof · cited by 565
Cited by1
Results whose statement or proof uses this declaration.
- gal_X_pow_sub_C_isSolvableproof · cited by 0