Theorems · Theorem · commutative algebra

MvPolynomial.coeff_X_pow

∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] [inst_1 : DecidableEq σ] (i : σ) (m : σ →₀ ℕ) (k : ℕ),
  MvPolynomial.coeff m (MvPolynomial.X i ^ k) = if (fun₀ | i => k) = m then 1 else 0

Defined in

Mathlib.Algebra.MvPolynomial.Basic

Cited by

2 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringDecidableEq