Theorems · Theorem · sequences and series

Summable.map_iff_of_leftInverse

∀ {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} {G' : Type u_5}
  [inst_4 : FunLike G α γ] [AddMonoidHomClass G α γ] [inst_6 : FunLike G' γ α] [AddMonoidHomClass G' γ α] (g : G)
  (g' : G'), Continuous ⇑g → Continuous ⇑g' → Function.LeftInverse ⇑g' ⇑g → (Summable (⇑g ∘ f) L ↔ Summable f L)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

5 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceAddCommMonoidTopologicalSpaceFunLikeAddMonoidHomClassFunLikeAddMonoidHomClass