Implication Details
Assumptions: preserves equalizers
Assumptions on source category: mono-regular
Conclusions: preserves monomorphisms
Proof: Any monomorphism in the domain is a regular monomorphism and is mapped to a regular monomorphism.
Assumptions: preserves equalizers
Assumptions on source category: mono-regular
Conclusions: preserves monomorphisms
Proof: Any monomorphism in the domain is a regular monomorphism and is mapped to a regular monomorphism.