Theorems · Theorem · sequences and series

tprod_eq_of_filter_le

∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α} [T2Space α]
  {L₁ L₂ : SummationFilter β} [L₁.NeBot],
  L₁.filter ≤ L₂.filter → Multipliable f L₂ → ∏'[L₁] (b : β), f b = ∏'[L₂] (b : β), f b

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Defs

Cited by

1 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpaceT2SpaceSummationFilter.NeBot