Theorems · Theorem · sequences and series

Multipliable.tprod_vanishing

∀ {α : Type u_1} {G : Type u_4} [inst : TopologicalSpace G] [inst_1 : CommGroup G] [IsTopologicalGroup G] {f : α → G},
  Multipliable f → ∀ ⦃e : Set G⦄, e ∈ nhds 1 → ∃ s, ∀ (t : Set α), Disjoint t ↑s → ∏' (b : ↑t), f ↑b ∈ e

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

1 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCommGroupIsTopologicalGroup