Theorems · Theorem · sequences and series

Multipliable.hasProd_iff

∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β} {f : β → α}
  {a : α} [T2Space α] [L.NeBot], Multipliable f L → (HasProd f a L ↔ ∏'[L] (b : β), f b = a)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Defs

Cited by

4 results in Mathlib

Foundations

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

Assumes

CommMonoidTopologicalSpaceT2SpaceSummationFilter.NeBot