Theorems · Theorem · commutative algebra

MvPolynomial.coeff_expand_smul

∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] (p : ℕ),
  p ≠ 0 →
    ∀ (φ : MvPolynomial σ R) (m : σ →₀ ℕ),
      MvPolynomial.coeff (p • m) ((MvPolynomial.expand p) φ) = MvPolynomial.coeff m φ

Defined in

Mathlib.Algebra.MvPolynomial.Expand

Cited by

6 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiring