Theorems · Theorem · ring theory

MonoidAlgebra.coeff_mul_apply_left

∀ {R : Type u_1} {G : Type u_3} [inst : Semiring R] [inst_1 : Group G] (x y : MonoidAlgebra R G) (g : G),
  (x * y).coeff g = x.coeff.sum fun h r => r * y.coeff (h⁻¹ * g)

Defined in

Mathlib.Algebra.MonoidAlgebra.Defs

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringGroup