Theorems · Theorem · sequences and series

Function.Injective.hasProd_iff

∀ {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 : γ → β}, Function.Injective g → (∀ x ∉ Set.range g, f x = 1) → (HasProd (f ∘ g) a ↔ HasProd f a)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Defs

Cited by

4 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpace