Implication Details
Assumptions: cofinitary, left exact
Requirements of the source: finitely complete
Conclusions: continuous
Proof: This is because every limit can be written as a filtered limit of finite limits, see Mac Lane, Ch. IX, Theorem 1.1.
Assumptions: cofinitary, left exact
Requirements of the source: finitely complete
Conclusions: continuous
Proof: This is because every limit can be written as a filtered limit of finite limits, see Mac Lane, Ch. IX, Theorem 1.1.