Theorems · Theorem · field theory
Polynomial.Gal.prime_degree_dvd_card
∀ {F : Type u_1} [inst : Field F] {p : Polynomial F} [CharZero F],
Irreducible p → Nat.Prime p.natDegree → p.natDegree ∣ Nat.card p.Gal- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupproof · cited by 12,871
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- le_antisymmproof · cited by 2,068
- Nat.Primestatement and proof · cited by 2,059
- Module.finrankproof · cited by 1,770
- WithBotproof · cited by 1,498
- Polynomial.natDegreestatement and proof · cited by 1,105
- CharZerostatement and proof · cited by 932
- Nat.cardstatement · cited by 844
- Polynomial.degreeproof · cited by 643
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Gal.galActionHom_bijective_of_prime_degreeproof · cited by 1