Theorems · Theorem · field theory
IsConjRoot.neg
∀ {K : Type u_2} {S : Type u_4} [inst : CommRing S] [inst_1 : Field K] [inst_2 : Algebra K S] {x y : S},
IsConjRoot K x y → IsConjRoot K (-x) (-y)If y is a conjugate root of x, then -y is a conjugate root of -x.
- Defined in
- Mathlib.FieldTheory.Minpoly.IsConjRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.natDegreeproof · cited by 1,105
- minpolyproof · cited by 439
- Polynomial.compproof · cited by 193
- IsConjRootstatement and proof · cited by 43
- isConjRoot_defproof · cited by 4
- minpoly.negproof · cited by 2
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