Theorems · Theorem · sequences and series

hasSum_pnat_iff

∀ {G : Type u_2} [inst : AddCommGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalAddGroup G] {f : ℕ → G} {a : G},
  HasSum (fun x => f ↑x) a ↔ HasSum f (a + f 0)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.NatInt

Cited by

0 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupTopologicalSpaceIsTopologicalAddGroup