Theorems · Theorem · commutative algebra

PolynomialModule.coeff_finsuppSum

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommRing R] [inst_1 : AddCommGroup M]
  [inst_2 : Module R M] [inst_3 : AddCommMonoid N] (f : ι →₀ N) (g : ι → N → PolynomialModule R M),
  (f.sum g).coeff = f.sum fun i n => (g i n).coeff

Defined in

Mathlib.Algebra.Polynomial.Module.Basic

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommMonoid