Theorems · Theorem · number theory
Subfield.roots_X_pow_char_sub_X_bot
∀ (F : Type u_3) [inst : Field F] (p : ℕ) [inst_1 : Fact (Nat.Prime p)] [inst_2 : CharP F p], (Polynomial.X ^ p - Polynomial.X).roots = Finset.univ.val
- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- Bot.botstatement and proof · cited by 4,720
- Finset.univstatement and proof · cited by 3,473
- Factstatement and proof · cited by 2,726
- Multisetstatement and proof · cited by 2,627
- Nat.Primestatement and proof · cited by 2,059
- Polynomial.Xstatement and proof · cited by 1,639
- Fintype.cardproof · cited by 1,386
- CharPstatement and proof · cited by 478
- Finset.valstatement and proof · cited by 438
Cited by2
Results whose statement or proof uses this declaration.
- Subfield.splits_botproof · cited by 1
- Subfield.mem_bot_iff_pow_eq_selfproof · cited by 0