Theorems · Theorem · sequences and series

Multipliable.prod_mul_tprod_nat_add

∀ {G : Type u_2} [inst : CommGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G] [T2Space G] {f : ℕ → G}
  (k : ℕ), Multipliable f → (∏ i ∈ Finset.range k, f i) * ∏' (i : ℕ), f (i + k) = ∏' (i : ℕ), f i

Defined in

Mathlib.Topology.Algebra.InfiniteSum.NatInt

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommGroupTopologicalSpaceIsTopologicalGroupT2Space