Theorems · Theorem · sequences and series

tsum_tsum_eq_single

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] (f : β → γ → α)
  (b : β) (c : γ),
  (∀ (b' : β), b' ≠ b → f b' c = 0) →
    (∀ (b' : β) (c' : γ), c' ≠ c → f b' c' = 0) → ∑' (b' : β) (c' : γ), f b' c' = f b c

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

AddCommMonoidTopologicalSpace