Theorems · Theorem · sequences and series

hasProd_extend_one

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α} {a : α}
  {g : β → γ}, Function.Injective g → (HasProd (Function.extend g f 1) a ↔ HasProd f a)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

2 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpace