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Theorems · Theorem · field theory

ConjRootClass.minpoly_ne_zero

∀ {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 ≠ 0
Defined in
Mathlib.FieldTheory.Minpoly.ConjRootClass
Cited by
1 results in Mathlib
Foundations
Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebraAlgebra.IsAlgebraic
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ConjRootClass.rootSet_minpoly_eq_carrier · cited by 0ConjRootClass.rootSet_min…Algebra · cited by 11388AlgebraField · cited by 7404FieldPolynomial · cited by 5681PolynomialAlgebra.IsAlgebraic · cited by 322Algebra.IsAlgebraicPolynomial.Monic.ne_zero · cited by 63Monic.ne_zeroConjRootClass · cited by 23ConjRootClassConjRootClass.minpoly · cited by 14ConjRootClass.minpolyConjRootClass.monic_minpoly · cited by 2ConjRootClass.monic_minpo…ConjRootClass.minpoly_ne_zeroCITED BYCITES

Cites8

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Cited by1

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