Theorems · Theorem · sequences and series

Multipliable.tprod_le_of_prod_range_le

∀ {α : Type u_3} [inst : Preorder α] [inst_1 : CommMonoid α] [inst_2 : TopologicalSpace α] {c : α} [ClosedIicTopology α]
  {f : ℕ → α}, Multipliable f → (∀ (n : ℕ), ∏ i ∈ Finset.range n, f i ≤ c) → ∏' (n : ℕ), f n ≤ c

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Order

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderCommMonoidTopologicalSpaceClosedIicTopology