Theorems · Theorem · sequences and series

tprod_eq_of_multipliable_unconditional

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

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Defs

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommMonoidTopologicalSpaceT2SpaceSummationFilter.NeBotSummationFilter.LeAtTop