Theorems · Theorem · field theory
ConjRootClass.rootSet_minpoly_eq_carrier
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [Algebra.IsAlgebraic K L]
(c : ConjRootClass K L), c.minpoly.rootSet L = c.carrier- Cited by
- 0 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Set.extproof · cited by 2,266
- Algebra.IsAlgebraicstatement and proof · cited by 322
- Polynomial.rootSetstatement and proof · cited by 101
- ConjRootClassstatement and proof · cited by 23
- ConjRootClass.minpolystatement and proof · cited by 14
- Polynomial.mem_rootSetproof · cited by 13
- ConjRootClass.mkproof · cited by 13
- ConjRootClass.carrierstatement · cited by 9
- ConjRootClass.mem_carrierproof · cited by 2
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