Theorems · Theorem · sequences and series

HasProd.mul_isCompl

∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α} {a b : α}
  [ContinuousMul α] {s t : Set β},
  IsCompl s t → HasProd (f ∘ Subtype.val) a → HasProd (f ∘ Subtype.val) b → HasProd f (a * b)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

4 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpaceContinuousMul