Theorems · Theorem · field theory
Polynomial.roots_expand_pow_image_iterateFrobenius_subset
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] (p n : ℕ) [inst_2 : ExpChar R p] (f : Polynomial R)
[inst_3 : DecidableEq R],
Finset.image (⇑(iterateFrobenius R p n)) ((Polynomial.expand R (p ^ n)) f).roots.toFinset ⊆ f.roots.toFinset- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- CommRingstatement and proof · cited by 17,173
- Finsetstatement and proof · cited by 13,712
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- IsDomainstatement and proof · cited by 2,196
- LT.lt.ne'proof · cited by 1,417
- Finset.imagestatement · cited by 910
- Multiset.mapproof · cited by 876
- ExpCharstatement and proof · cited by 276
- Polynomial.rootsstatement and proof · cited by 264
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.roots_expand_image_frobenius_subsetproof · cited by 0