Theorems · Theorem · commutative algebra

MvPolynomial.coeff_monomial

∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] [inst_1 : DecidableEq σ] (m n : σ →₀ ℕ) (a : R),
  MvPolynomial.coeff m ((MvPolynomial.monomial n) a) = if n = m then a else 0

Defined in

Mathlib.Algebra.MvPolynomial.Basic

Cited by

32 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringDecidableEq