Theorems · Theorem · sequences and series

hasProd_fintype_support

∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] [inst_2 : Fintype β] (f : β → α)
  (L : SummationFilter β) [L.HasSupport] [inst_4 : DecidablePred fun x => x ∈ L.support],
  HasProd f (∏ b ∈ L.support.toFinset, f b) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Defs

Cited by

2 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpaceFintypeSummationFilter.HasSupportDecidablePred