Theorems · Theorem · commutative algebra
coe_iterateFrobenius
∀ (R : Type u_1) [inst : CommSemiring R] (p n : ℕ) [inst_1 : ExpChar R p], ⇑(iterateFrobenius R p n) = (⇑(frobenius R p))^[n]
- Defined in
- Mathlib.Algebra.CharP.Frobenius
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 96 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.
Cites8
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
- Nat.iteratestatement · cited by 740
- ExpCharstatement and proof · cited by 276
- frobeniusstatement · cited by 80
- iterateFrobeniusstatement · cited by 39
- pow_iterateproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- pNilradical_eq_bot_of_frobenius_injproof · cited by 1
- iterateFrobenius_mul_applyproof · cited by 1