Theorems · Theorem · sequences and series

SummationFilter.tprod_symmetricIcc_eq_tprod_symmetricIco

∀ {α : Type u_1} {f : ℤ → α} [inst : CommGroup α] [inst_1 : TopologicalSpace α] [ContinuousMul α] [T2Space α],
  Multipliable f (SummationFilter.symmetricIcc ℤ) →
    Filter.Tendsto (fun N => (f ↑N)⁻¹) Filter.atTop (nhds 1) →
      ∏'[SummationFilter.symmetricIco ℤ] (b : ℤ), f b = ∏'[SummationFilter.symmetricIcc ℤ] (b : ℤ), f b

Defined in

Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt

Cited by

0 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupTopologicalSpaceContinuousMulT2Space