Theorems · Theorem · general algebraic systems

Finsupp.sum_smul_index

∀ {α : Type u_1} {M : Type u_3} {R : Type u_6} [inst : MulZeroClass R] [inst_1 : AddCommMonoid M] {g : α →₀ R} {b : R}
  {h : α → R → M}, (∀ (i : α), h i 0 = 0) → (b • g).sum h = g.sum fun i a => h i (b * a)

Defined in

Mathlib.Data.Finsupp.SMul

Cited by

6 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MulZeroClassAddCommMonoid