Theorems · Theorem · field theory
ConjRootClass.carrier_eq_mk_aroots_minpoly
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
[inst_3 : Algebra.IsSeparable K L] (c : ConjRootClass K L) [inst_4 : Fintype ↑c.carrier],
c.carrier.toFinset = { val := c.minpoly.aroots L, nodup := ⋯ }- Cited by
- 0 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Set.Elemstatement and proof · cited by 7,166
- Finset.valproof · cited by 438
- Set.toFinsetstatement and proof · cited by 217
- Algebra.IsSeparablestatement and proof · cited by 210
- Polynomial.arootsstatement and proof · cited by 89
- ConjRootClassstatement and proof · cited by 23
- ConjRootClass.minpolystatement and proof · cited by 14
- ConjRootClass.carrierstatement and proof · cited by 9
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