Theorems · Theorem · commutative algebra
iterateFrobenius_one
∀ (R : Type u_1) [inst : CommSemiring R] (p : ℕ) [inst_1 : ExpChar R p], iterateFrobenius R p 1 = frobenius R p
- Defined in
- Mathlib.Algebra.CharP.Frobenius
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 97 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.
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- RingHom.extproof · cited by 331
- ExpCharstatement and proof · cited by 276
- frobeniusstatement · cited by 80
- iterateFrobeniusstatement · cited by 39
- iterateFrobenius_one_applyproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- frobenius_injproof · cited by 5
- Polynomial.map_iterateFrobenius_expandproof · cited by 1
- Polynomial.roots_expand_image_frobenius_subsetproof · cited by 0
- MvPolynomial.map_iterateFrobenius_expandproof · cited by 0
- Polynomial.roots_expand_map_frobenius_leproof · cited by 0
- MvPowerSeries.map_iterateFrobenius_expandproof · cited by 0
- minpoly.frobenius_of_isSeparableproof · cited by 0