Theorems · Theorem · sequences and series

Multipliable.prod_mul_tprod_compl

∀ {α : Type u_1} {β : Type u_2} [inst : CommGroup α] [inst_1 : TopologicalSpace α] [IsTopologicalGroup α] {f : β → α}
  [T2Space α] {s : Finset β}, Multipliable f → (∏ x ∈ s, f x) * ∏' (x : ↑(↑s)ᶜ), f ↑x = ∏' (x : β), f x

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

0 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupTopologicalSpaceIsTopologicalGroupT2Space