Theorems · Theorem · sequences and series

Summable.sigma

∀ {α : Type u_1} {β : Type u_2} [inst : AddCommGroup α] [inst_1 : UniformSpace α] [IsUniformAddGroup α]
  [CompleteSpace α] {γ : β → Type u_4} {f : (b : β) × γ b → α}, Summable f → Summable fun b => ∑' (c : γ b), f ⟨b, c⟩

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

2 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupUniformSpaceIsUniformAddGroupCompleteSpace