Theorems · Theorem · number theory
FiniteField.Extension.exists_frob_pow_eq
∀ (k : Type u_1) [inst : Field k] [inst_1 : Finite k] (p : ℕ) [inst_2 : Fact (Nat.Prime p)] [inst_3 : CharP k p] (n : ℕ) [inst_4 : NeZero n] (g : Gal(FiniteField.Extension k p n/k)), ∃ i < n, FiniteField.Extension.frob k p n ^ i = g
- Defined in
- Mathlib.FieldTheory.Finite.Extension
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 201 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.
- DFunLike.coeproof · cited by 62,936
- Fintypeproof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Finitestatement and proof · cited by 3,029
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Module.finrankproof · cited by 1,770
- AlgEquivstatement and proof · cited by 1,681
- Nat.iterateproof · cited by 740
- CharPstatement and proof · cited by 478
- Fintype.ofFiniteproof · cited by 255
- AlgEquiv.extproof · cited by 60
Cited by1
Results whose statement or proof uses this declaration.
- FiniteField.exists_forall_apply_eq_powproof · cited by 1