Theorems · Theorem · sequences and series

HasProd.map

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

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

4 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpaceCommMonoidTopologicalSpaceFunLikeMonoidHomClass