Theorems · Theorem · sequences and series

HasProd.hasProd_iff_compl

∀ {α : Type u_1} {β : Type u_2} [inst : CommGroup α] [inst_1 : TopologicalSpace α] [IsTopologicalGroup α] {f : β → α}
  {a₁ a₂ : α} {s : Set β}, HasProd (f ∘ Subtype.val) a₁ → (HasProd f a₂ ↔ HasProd (f ∘ Subtype.val) (a₂ / a₁))

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

2 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupTopologicalSpaceIsTopologicalGroup