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Theorems · Theorem · field theory

isConjRoot_of_algEquiv

∀ {R : Type u_1} {A : Type u_5} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A] (x : A) (s : A ≃ₐ[R] A),
  IsConjRoot R x (s x)

Let s be an R-algebra isomorphism. Then s x is a conjugate root of x.

Defined in
Mathlib.FieldTheory.Minpoly.IsConjRoot
Cited by
1 results in Mathlib
Foundations
Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingRingAlgebra

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