Theorems · Theorem · sequences and series

Summable.map

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α}
  {L : SummationFilter β} [inst_2 : AddCommMonoid γ] [inst_3 : TopologicalSpace γ],
  Summable f L →
    ∀ {G : Type u_4} [inst_4 : FunLike G α γ] [AddMonoidHomClass G α γ] (g : G), Continuous ⇑g → Summable (⇑g ∘ f) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

5 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceAddCommMonoidTopologicalSpaceFunLikeAddMonoidHomClass