Theorems · Theorem · field theory
Polynomial.map_iterateFrobenius_expand
∀ {R : Type u} [inst : CommSemiring R] (p : ℕ) [inst_1 : ExpChar R p] (f : Polynomial R) (n : ℕ),
Polynomial.map (iterateFrobenius R p n) ((Polynomial.expand R (p ^ n)) f) = f ^ p ^ n- Defined in
- Mathlib.Algebra.Polynomial.Expand
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- add_commproof · cited by 1,535
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- Polynomial.mapstatement and proof · cited by 806
- pow_succproof · cited by 374
- ExpCharstatement and proof · cited by 276
- pow_succ'proof · cited by 228
- pow_mulproof · cited by 210
Cited by1
Results whose statement or proof uses this declaration.
- FiniteField.expand_cardproof · cited by 2