Theorems · Theorem · general algebraic systems

DFinsupp.sum_single_index

∀ {ι : Type u} {γ : Type w} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → Zero (β i)]
  [inst_2 : (i : ι) → (x : β i) → Decidable (x ≠ 0)] [inst_3 : AddCommMonoid γ] {i : ι} {b : β i}
  {h : (i : ι) → β i → γ}, h i 0 = 0 → (fun₀ | i => b).sum h = h i b

Defined in

Mathlib.Data.DFinsupp.BigOperators

Cited by

5 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqZeroDecidableAddCommMonoid