Theorems · Theorem · commutative algebra
RingHom.map_iterateFrobenius
∀ {R : Type u_1} [inst : CommSemiring R] {S : Type u_2} [inst_1 : CommSemiring S] (g : R →+* S) (p : ℕ)
[inst_2 : ExpChar R p] [inst_3 : ExpChar S p] (x : R) (n : ℕ),
g ((iterateFrobenius R p n) x) = (iterateFrobenius S p n) (g x)- Defined in
- Mathlib.Algebra.CharP.Frobenius
- Cited by
- 1 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.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- ExpCharstatement and proof · cited by 276
- RingHom.toMonoidHomproof · cited by 132
- iterateFrobeniusstatement · cited by 39
- MonoidHom.map_iterateFrobeniusproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.iterateFrobenius_commproof · cited by 1