Theorems · Theorem · sequences and series

Multipliable.hasProd

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

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Defs

Cited by

88 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpace