Theorems · Theorem · commutative algebra
aeval_wittPolynomial
∀ (p : ℕ) (R : Type u_1) [inst : CommRing R] {A : Type u_3} [inst_1 : CommRing A] [inst_2 : Algebra R A] (f : ℕ → A)
(n : ℕ), (MvPolynomial.aeval f) (wittPolynomial p R n) = ∑ i ∈ Finset.range (n + 1), ↑p ^ i * f i ^ p ^ (n - i)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- Algebrastatement and proof · cited by 11,388
- Finsuppstatement · cited by 5,255
- Finset.sumstatement and proof · cited by 5,195
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement · cited by 3,236
- Finset.sum_congrproof · cited by 2,323
- MvPolynomialstatement · cited by 2,140
- Finset.rangestatement and proof · cited by 1,341
- pow_zeroproof · cited by 1,094
- Finsupp.singleproof · cited by 943
Cited by3
Results whose statement or proof uses this declaration.
- C_p_pow_dvd_bind₁_rename_wittPolynomial_sub_sumproof · cited by 1
- WittVector.ghostComponent_verschiebungFunproof · cited by 1
- WittVector.ghostComponent_zero_verschiebungFunproof · cited by 1