Theorems · Definition · commutative algebra
MvPolynomial.expand
{σ : Type u_1} → {R : Type u_3} → [inst : CommSemiring R] → ℕ → MvPolynomial σ R →ₐ[R] MvPolynomial σ RExpand the polynomial by a factor of p, so ∑ aₙ xⁿ becomes ∑ aₙ xⁿᵖ.
See also Polynomial.expand.
- Defined in
- Mathlib.Algebra.MvPolynomial.Expand
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.Xproof · cited by 552
- MvPolynomial.bind₁proof · cited by 70
Cited by44
Results whose statement or proof uses this declaration.
- MvPolynomial.expand_Xstatement · cited by 8
- MvPolynomial.coeff_expand_smulstatement and proof · cited by 6
- MvPolynomial.map_expandstatement · cited by 3
- MvPolynomial.expand_monomialstatement · cited by 3
- MvPolynomial.coeff_expand_of_not_dvdstatement and proof · cited by 2
- MvPowerSeries.expand_eq_expandstatement and proof · cited by 2
- MvPolynomial.support_expand_subsetstatement and proof · cited by 2
- MvPowerSeries.trunc'_expandstatement and proof · cited by 2
- MvPolynomial.eval₂_expandstatement · cited by 2
- MvPolynomial.map_frobenius_expandstatement and proof · cited by 2
- MvPolynomial.expand_Cstatement · cited by 2
- MvPolynomial.expand_injectivestatement and proof · cited by 2