Implication Details
Claim: If a category has countable coproducts and has ℵ₁-filtered colimits, then it has coproducts.
Proof: This follows from the dual implication.
Claim: If a category has countable coproducts and has ℵ₁-filtered colimits, then it has coproducts.
Proof: This follows from the dual implication.