Theorems · Theorem · sequences and series

Multipliable.tprod_prod

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : CommGroup α] [inst_1 : UniformSpace α] [IsUniformGroup α]
  [CompleteSpace α] [T0Space α] {f : β × γ → α}, Multipliable f → ∏' (p : β × γ), f p = ∏' (b : β) (c : γ), f (b, c)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommGroupUniformSpaceIsUniformGroupCompleteSpaceT0Space