Theorems · Theorem · number theory
Irreducible.natDegree_dvd_iff_dvd_X_pow_card_pow_sub_X
∀ {k : Type u_1} [inst : Field k] [Finite k] {f : Polynomial k},
Irreducible f → ∀ {n : ℕ}, f.natDegree ∣ n ↔ f ∣ Polynomial.X ^ Nat.card k ^ n - Polynomial.X- Defined in
- Mathlib.FieldTheory.Finite.Extension
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- Fintypeproof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Finitestatement and proof · cited by 3,029
- Factproof · cited by 2,726
- Nat.Primeproof · cited by 2,059
- AlgEquivproof · cited by 1,681
- Polynomial.Xstatement and proof · cited by 1,639
- map_zeroproof · cited by 1,614
- Polynomial.natDegreestatement and proof · cited by 1,105
- sub_selfproof · cited by 996
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