Theorems · Theorem · sequences and series

HasSum.sum_range_add

∀ {M : Type u_1} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M] {m : M} [ContinuousAdd M] {f : ℕ → M} {k : ℕ},
  HasSum (fun n => f (n + k)) m → HasSum f (∑ i ∈ Finset.range k, f i + m)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.NatInt

Cited by

3 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceContinuousAdd