Theorems · Theorem · sequences and series

HasProd.inv

∀ {α : Type u_1} {β : Type u_2} {L : SummationFilter β} [inst : CommGroup α] [inst_1 : TopologicalSpace α]
  [IsTopologicalGroup α] {f : β → α} {a : α}, HasProd f a L → HasProd (fun b => (f b)⁻¹) a⁻¹ L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

2 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupTopologicalSpaceIsTopologicalGroup