Theorems · Theorem · sequences and series

HasSum.congr_fun

∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f g : β → α} {a : α}
  {L : SummationFilter β}, HasSum f a L → (∀ (x : β), g x = f x) → HasSum g a L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

24 results in Mathlib

Foundations

Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpace