Theorems · Definition · field theory
iterateFrobeniusEquiv
(R : Type u_1) → (p : ℕ) → ℕ → [inst : CommSemiring R] → [ExpChar R p] → [PerfectRing R p] → R ≃+* R
The iterated Frobenius automorphism for a perfect ring.
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- RingEquivstatement · cited by 1,147
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- iterateFrobeniusproof · cited by 39
- RingEquiv.ofBijectiveproof · cited by 24
- bijective_iterateFrobeniusproof · cited by 0
Cited by30
Results whose statement or proof uses this declaration.
- PerfectRing.liftAuxproof · cited by 6
- PerfectRing.liftAux_self_applyproof · cited by 4
- iterateFrobeniusEquiv_add_applystatement · cited by 3
- iterateFrobeniusEquiv_applystatement and proof · cited by 3
- iterateFrobeniusEquiv_defstatement · cited by 3
- Polynomial.roots_expand_powstatement and proof · cited by 3
- PerfectRing.liftAux_id_applyproof · cited by 3
- Polynomial.rootsExpandPowEquivRootsproof · cited by 2
- Polynomial.roots_X_pow_char_pow_sub_Cstatement and proof · cited by 2
- iterateFrobeniusEquiv_eq_powstatement and proof · cited by 2
- iterateFrobeniusEquiv_onestatement · cited by 2
- PerfectRing.liftAux_applystatement and proof · cited by 2