Theorems · Theorem · sequences and series

tprod_fintype

∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β} [L.LeAtTop]
  [inst_3 : Fintype β] (f : β → α), ∏'[L] (b : β), f b = ∏ b, f b

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

7 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpaceSummationFilter.LeAtTopFintype