Theorems · Theorem · commutative algebra
LinearMap.iterateFrobenius_def
∀ (R : Type u_1) [inst : CommSemiring R] (S : Type u_2) [inst_1 : CommSemiring S] (p : ℕ) [inst_2 : ExpChar R p] [inst_3 : ExpChar S p] [inst_4 : Algebra R S] (n : ℕ) (x : S), (LinearMap.iterateFrobenius R S p n) x = x ^ p ^ n
- Defined in
- Mathlib.Algebra.CharP.Frobenius
- Cited by
- 0 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.
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- ExpCharstatement and proof · cited by 276
- iterateFrobeniusstatement · cited by 39
- LinearMap.iterateFrobeniusstatement · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.