Theorems · Theorem · ring theory

Finsupp.sum_sub

∀ {α : Type u_1} {M : Type u_8} {G : Type u_12} [inst : Zero M] [inst_1 : SubtractionCommMonoid G] {f : α →₀ M}
  {h₁ h₂ : α → M → G}, (f.sum fun a b => h₁ a b - h₂ a b) = f.sum h₁ - f.sum h₂

Defined in

Mathlib.Algebra.BigOperators.Finsupp.Basic

Cited by

9 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ZeroSubtractionCommMonoid