Theorems · Theorem · commutative algebra
WittVector.iterate_frobenius_coeff
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] [CharP R p] (x : WittVector p R) (i k : ℕ),
((⇑WittVector.frobenius)^[i] x).coeff k = x.coeff k ^ p ^ i- Defined in
- Mathlib.RingTheory.WittVector.Identities
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- RingHomstatement · cited by 10,189
- mul_oneproof · cited by 3,885
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- Nat.Primestatement and proof · cited by 2,059
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- Nat.iteratestatement and proof · cited by 740
- CharPstatement and proof · cited by 478
- WittVectorstatement and proof · cited by 227
Cited by2
Results whose statement or proof uses this declaration.
- WittVector.exists_eq_pow_p_mulproof · cited by 2
- WittVector.iterate_verschiebung_mul_coeffproof · cited by 0