Theorems · Definition · commutative algebra
wittPolynomial
ℕ → (R : Type u_1) → [inst : CommRing R] → ℕ → MvPolynomial ℕ R
wittPolynomial p R n is the n-th Witt polynomial
with respect to a prime p with coefficients in a commutative ring R.
It is defined as:
∑_{i ≤ n} p^i X_i^{p^{n-i}} ∈ R[X_0, X_1, X_2, …].
- Cited by
- 54 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Finset.sumproof · cited by 5,195
- MvPolynomialstatement · cited by 2,140
- Finset.rangeproof · cited by 1,341
- Finsupp.singleproof · cited by 943
- MvPolynomial.monomialproof · cited by 253
Cited by58
Results whose statement or proof uses this declaration.
- map_wittStructureIntproof · cited by 13
- wittStructureRatproof · cited by 12
- map_wittPolynomialstatement and proof · cited by 10
- wittPolynomial_eq_sum_C_mul_X_powstatement · cited by 8
- wittPolynomial_zerostatement · cited by 8
- WittVector.polyOfInterestproof · cited by 8
- wittPolynomial_varsstatement · cited by 4
- wittStructureInt_propstatement and proof · cited by 4
- wittStructureRat_propstatement and proof · cited by 4
- WittVector.wittPolyProdproof · cited by 4
- constantCoeff_wittPolynomialstatement · cited by 3
- bind₁_wittPolynomial_xInTermsOfWstatement and proof · cited by 3