Theorems · Definition · field theory
frobeniusEquiv
(R : Type u_1) → (p : ℕ) → [inst : CommSemiring R] → [ExpChar R p] → [PerfectRing R p] → R ≃+* R
The Frobenius automorphism for a perfect ring.
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 48 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.
Cites6
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
- frobeniusproof · cited by 80
- RingEquiv.ofBijectiveproof · cited by 24
Cited by55
Results whose statement or proof uses this declaration.
- WittVector.frobeniusEquivproof · cited by 9
- Perfection.liftproof · cited by 8
- frobenius_apply_frobeniusEquiv_symmstatement and proof · cited by 6
- WittVector.fontaineThetaModPPowproof · cited by 5
- frobeniusEquiv_applystatement and proof · cited by 4
- PreTilt.coeff_iterate_frobeniusEquiv_symmstatement · cited by 3
- frobeniusEquiv_symm_apply_frobeniusstatement and proof · cited by 3
- WittVector.factorPowSucc_comp_fontaineThetaModPPowproof · cited by 2
- WittVector.ghostComponentModPPow_teichmuller_coeffproof · cited by 2
- iterateFrobeniusEquiv_eq_powstatement and proof · cited by 2
- iterateFrobeniusEquiv_onestatement · cited by 2
- Perfection.pthRoot_eq_symm_frobeniusEquivstatement and proof · cited by 2