Theorems · Theorem · commutative algebra
MonoidHom.map_iterate_frobenius
∀ {R : Type u_1} [inst : CommSemiring R] {S : Type u_2} [inst_1 : CommSemiring S] (f : R →* S) (p : ℕ)
[inst_2 : ExpChar R p] [inst_3 : ExpChar S p] (x : R) (n : ℕ),
f ((⇑(frobenius R p))^[n] x) = (⇑(frobenius S p))^[n] (f x)- Defined in
- Mathlib.Algebra.CharP.Frobenius
- Cited by
- 1 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.
Cites9
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
- MonoidHomstatement and proof · cited by 3,629
- Nat.iteratestatement · cited by 740
- ExpCharstatement and proof · cited by 276
- frobeniusstatement · cited by 80
- Function.Semiconj.iterate_rightproof · cited by 7
- MonoidHom.map_frobeniusproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.map_iterate_frobeniusproof · cited by 0