Implication Details
Claim: If a category is balanced and has a generating set, then it has an extremal generating set.
Proof: This is immediate from the fact that any faithful functor out of a balanced category is also conservative (see here).
Claim: If a category is balanced and has a generating set, then it has an extremal generating set.
Proof: This is immediate from the fact that any faithful functor out of a balanced category is also conservative (see here).