Theorems · Theorem · commutative algebra
iterateFrobenius_def
∀ {R : Type u_1} [inst : CommSemiring R] (p n : ℕ) [inst_1 : ExpChar R p] (x : R),
(iterateFrobenius R p n) x = x ^ p ^ n- Defined in
- Mathlib.Algebra.CharP.Frobenius
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringExpChar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- ExpCharstatement and proof · cited by 276
- iterateFrobeniusstatement · cited by 39
Cited by6
Results whose statement or proof uses this declaration.
- PerfectRing.liftAux_self_applyproof · cited by 4
- PerfectRing.liftAux_id_applyproof · cited by 3
- minpoly.iterateFrobenius_of_isSeparableproof · cited by 1
- iterateFrobenius_zero_applyproof · cited by 1
- RingHom.pNilradical_le_ker_of_perfectRingproof · cited by 1
- iterateFrobenius_one_applyproof · cited by 1