Theorems · Definition · field theory
ConjRootClass.minpoly
{K : Type u_1} →
{L : Type u_2} → [inst : Field K] → [inst_1 : Field L] → [inst_2 : Algebra K L] → ConjRootClass K L → Polynomial Kc.minpoly is the minimal polynomial of the conjugates.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Polynomialstatement · cited by 5,681
- minpolyproof · cited by 439
- ConjRootClassstatement · cited by 23
Cited by14
Results whose statement or proof uses this declaration.
- ConjRootClass.minpoly_mkstatement · cited by 3
- ConjRootClass.monic_minpolystatement · cited by 2
- ConjRootClass.nodup_aroots_minpolystatement · cited by 2
- ConjRootClass.separable_minpolystatement · cited by 2
- ConjRootClass.aeval_minpoly_iffstatement · cited by 1
- ConjRootClass.aroots_minpoly_eq_carrier_valstatement and proof · cited by 1
- ConjRootClass.splits_minpolystatement · cited by 1
- ConjRootClass.minpoly_injstatement · cited by 1
- ConjRootClass.minpoly_ne_zerostatement · cited by 1
- ConjRootClass.carrier_eq_mk_aroots_minpolystatement and proof · cited by 0
- ConjRootClass.irreducible_minpolystatement · cited by 0
- ConjRootClass.minpoly.map_eq_prodstatement and proof · cited by 0