Theorems · Theorem · sequences and series

tsum_star

∀ {α : Type u_1} {β : Type u_2} {L : SummationFilter β} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α]
  [inst_2 : StarAddMonoid α] [ContinuousStar α] {f : β → α} [T2Space α],
  star (∑'[L] (b : β), f b) = ∑'[L] (b : β), star (f b)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

1 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceStarAddMonoidContinuousStarT2Space