Theorems · Theorem · sequences and series

Multipliable.tprod_comm

∀ {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 (Function.uncurry f) → ∏' (c : γ) (b : β), f b c = ∏' (b : β) (c : γ), f b c

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

0 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupUniformSpaceIsUniformGroupCompleteSpaceT0Space