Theorems · Theorem · field theory
iterateFrobeniusEquiv_apply
∀ (R : Type u_1) (p n : ℕ) [inst : CommSemiring R] [inst_1 : ExpChar R p] [inst_2 : PerfectRing R p] (a : R), (iterateFrobeniusEquiv R p n) a = (iterateFrobenius R p n) a
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- RingEquivstatement · cited by 1,147
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- iterateFrobeniusstatement · cited by 39
- iterateFrobeniusEquivstatement and proof · cited by 28
Cited by3
Results whose statement or proof uses this declaration.
- PerfectRing.liftAux_self_applyproof · cited by 4
- PerfectRing.liftAux_id_applyproof · cited by 3
- RingHom.pNilradical_le_ker_of_perfectRingproof · cited by 1