Theorems · Theorem · commutative algebra
iterateFrobenius_one_apply
∀ (R : Type u_1) [inst : CommSemiring R] (p : ℕ) [inst_1 : ExpChar R p] (x : R), (iterateFrobenius R p 1) x = x ^ p
- Defined in
- Mathlib.Algebra.CharP.Frobenius
- Cited by
- 1 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.
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 · cited by 10,189
- pow_oneproof · cited by 894
- ExpCharstatement and proof · cited by 276
- iterateFrobeniusstatement · cited by 39
- iterateFrobenius_defproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- iterateFrobenius_oneproof · cited by 7