Theorems · Theorem · field theory
minpoly.isRadical
∀ (A : Type u_1) {B : Type u_2} [inst : Field A] [inst_1 : Ring B] [inst_2 : Algebra A B] (x : B) [IsReduced B],
IsRadical (minpoly A x)- Defined in
- Mathlib.FieldTheory.Minpoly.Field
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.aevalproof · cited by 615
- map_powproof · cited by 503
- minpolystatement and proof · cited by 439
- IsReducedstatement and proof · cited by 98
- IsRadicalstatement · cited by 16
- IsReduced.eq_zeroproof · cited by 4
- minpoly.dvd_iffproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Module.End.IsSemisimple.of_mem_adjoin_pairproof · cited by 3
- Module.End.IsSemisimple.aevalproof · cited by 1