Theorems · Theorem · sequences and series

Finset.hasProd_support

∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] (s : Finset β) (f : β → α)
  (L : optParam (SummationFilter ↑↑s) (SummationFilter.unconditional ↑↑s)) [L.HasSupport]
  [inst_3 : DecidablePred fun x => x ∈ L.support],
  HasProd (f ∘ Subtype.val) (∏ b ∈ Finset.map (Function.Embedding.subtype fun x => x ∈ ↑s) L.support.toFinset, f b) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Defs

Cited by

1 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpaceSummationFilter.HasSupportDecidablePred