Theorems · Theorem · field theory

Polynomial.separable_X_pow_sub_C_of_irreducible

∀ {K : Type u} [inst : Field K] {n : ℕ},
  (primitiveRoots n K).Nonempty →
    ∀ (a : K), Irreducible (Polynomial.X ^ n - Polynomial.C a) → (Polynomial.X ^ n - Polynomial.C a).Separable

Also see Polynomial.separable_X_pow_sub_C_unit

Defined in: Mathlib.FieldTheory.KummerExtension
Cited by: 1 results in Mathlib
Foundations: Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field

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Cited by1

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