Theorems · Theorem · field theory
ConjRootClass.nodup_aroots_minpoly
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [Algebra.IsSeparable K L]
(c : ConjRootClass K L), (c.minpoly.aroots L).Nodup- Cited by
- 2 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.IsSeparablestatement and proof · cited by 210
- Multiset.Nodupstatement · cited by 148
- Polynomial.arootsstatement · cited by 89
- ConjRootClassstatement and proof · cited by 23
- ConjRootClass.minpolystatement · cited by 14
- Polynomial.Separable.mapproof · cited by 14
- Polynomial.nodup_rootsproof · cited by 10
- ConjRootClass.separable_minpolyproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ConjRootClass.aroots_minpoly_eq_carrier_valproof · cited by 1
- ConjRootClass.carrier_eq_mk_aroots_minpolystatement and proof · cited by 0