Theorems · Theorem · sequences and series

HasSum.sum

∀ {α : Type u_4} {β : Type u_5} {M : Type u_6} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M] [ContinuousAdd M]
  {f : α ⊕ β → M} {a b : M}, HasSum (f ∘ Sum.inl) a → HasSum (f ∘ Sum.inr) b → HasSum f (a + b)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

2 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceContinuousAdd