Theorems · Theorem · commutative algebra
WittVector.coeff_frobenius
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] (x : WittVector p R) (n : ℕ),
(WittVector.frobenius x).coeff n = (MvPolynomial.aeval x.coeff) (WittVector.frobeniusPoly p n)- Defined in
- Mathlib.RingTheory.WittVector.Frobenius
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- Factstatement and proof · cited by 2,726
- MvPolynomialstatement · cited by 2,140
- Nat.Primestatement and proof · cited by 2,059
- MvPolynomial.aevalstatement · cited by 298
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement · cited by 138
- WittVector.frobeniusstatement · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.coeff_frobenius_charPproof · cited by 9