Theorems · Theorem · sequences and series

Multipliable.sigma

∀ {α : Type u_1} {β : Type u_2} [inst : CommGroup α] [inst_1 : UniformSpace α] [IsUniformGroup α] [CompleteSpace α]
  {γ : β → Type u_4} {f : (b : β) × γ b → α}, Multipliable f → Multipliable fun b => ∏' (c : γ b), f ⟨b, c⟩

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommGroupUniformSpaceIsUniformGroupCompleteSpace