Theorems · Theorem · sequences and series

Summable.map_iff_of_equiv

∀ {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] {G : Type u_4}
  [inst_4 : EquivLike G α γ] [AddEquivClass G α γ] (g : G),
  Continuous ⇑g → Continuous (EquivLike.inv g) → (Summable (⇑g ∘ f) L ↔ Summable f L)

A special case of Summable.map_iff_of_leftInverse for convenience

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceAddCommMonoidTopologicalSpaceEquivLikeAddEquivClass