Theorems · Theorem · sequences and series

HasProd.sum

∀ {α : Type u_4} {β : Type u_5} {M : Type u_6} [inst : CommMonoid M] [inst_1 : TopologicalSpace M] [ContinuousMul M]
  {f : α ⊕ β → M} {a b : M}, HasProd (f ∘ Sum.inl) a → HasProd (f ∘ Sum.inr) b → HasProd f (a * b)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

2 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpaceContinuousMul