Theorems · Theorem · commutative algebra
xInTermsOfW_eq
∀ (p : ℕ) (R : Type u_1) [inst : CommRing R] [inst_1 : Invertible ↑p] {n : ℕ},
xInTermsOfW p R n =
(MvPolynomial.X n - ∑ i ∈ Finset.range n, MvPolynomial.C (↑p ^ i) * xInTermsOfW p R i ^ p ^ (n - i)) *
MvPolynomial.C (⅟↑p ^ n)- Cited by
- 7 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingInvertible
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 and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- Finset.sumstatement and proof · cited by 5,195
- Finset.univproof · cited by 3,473
- MvPolynomialstatement and proof · cited by 2,140
- Finset.rangestatement and proof · cited by 1,341
- MvPolynomial.Xstatement and proof · cited by 552
- Invertiblestatement and proof · cited by 549
- MvPolynomial.Cstatement and proof · cited by 400
- Invertible.invOfstatement and proof · cited by 268
Cited by7
Results whose statement or proof uses this declaration.
- xInTermsOfW_zeroproof · cited by 7
- bind₁_wittPolynomial_xInTermsOfWproof · cited by 3
- constantCoeff_xInTermsOfWproof · cited by 2
- xInTermsOfW_auxproof · cited by 2
- xInTermsOfW_vars_auxproof · cited by 1
- WittVector.wittOne_pos_eq_zeroproof · cited by 1
- WittVector.map_frobeniusPolyproof · cited by 1