Theorems · Theorem · sequences and series

Multipliable.tprod_sigma

∀ {α : Type u_1} {β : Type u_2} [inst : CommGroup α] [inst_1 : UniformSpace α] [IsUniformGroup α] [CompleteSpace α]
  [T0Space α] {γ : β → Type u_4} {f : (b : β) × γ b → α},
  Multipliable f → ∏' (p : (b : β) × γ b), f p = ∏' (b : β) (c : γ b), f ⟨b, c⟩

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommGroupUniformSpaceIsUniformGroupCompleteSpaceT0Space