Theorems · Theorem · field theory

X_pow_sub_C_irreducible_of_odd

∀ {K : Type u} [inst : Field K] {n : ℕ},
  Odd n →
    ∀ {a : K}, (∀ (p : ℕ), Nat.Prime p → p ∣ n → ∀ (b : K), b ^ p ≠ a) → Irreducible (Polynomial.X ^ n - Polynomial.C a)

Defined in: Mathlib.FieldTheory.KummerExtension
Cited by: 3 results in Mathlib
Foundations: Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Cited by3

Results whose statement or proof uses this declaration.

X_pow_sub_C_irreducible_of_prime_powproof · cited by 1
X_pow_sub_C_irreducible_iff_forall_prime_of_oddproof · cited by 0
X_pow_sub_C_irreducible_iff_of_oddproof · cited by 0