Theorems · Theorem · sequences and series

hasProd_zero_zero

∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoidWithZero α] [inst_1 : TopologicalSpace α] {L : SummationFilter β}
  [Nonempty β] [L.LeAtTop], HasProd (fun x => 0) 0 L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

2 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidWithZeroTopologicalSpaceNonemptySummationFilter.LeAtTop