Theorems · Theorem · sequences and series

Summable.tsum_prod

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : AddCommGroup α] [inst_1 : UniformSpace α] [IsUniformAddGroup α]
  [CompleteSpace α] [T0Space α] {f : β × γ → α}, Summable f → ∑' (p : β × γ), f p = ∑' (b : β) (c : γ), f (b, c)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

4 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupUniformSpaceIsUniformAddGroupCompleteSpaceT0Space