Implication Details
Claim: Given a functor whose codomain is thin, and whose domain is semi-strongly connected and is thin, then it preserves binary coproducts.
Proof: This follows from the dual implication.
Claim: Given a functor whose codomain is thin, and whose domain is semi-strongly connected and is thin, then it preserves binary coproducts.
Proof: This follows from the dual implication.