Implication Details
Assumptions: locally finitely multi-presentable
Conclusions: filtered-colimit-stable monomorphisms
Reason: Every locally finitely multi-presentable category is a multi-reflective full subcategory of a presheaf category closed under filtered colimits (Adamek-Rosicky, 4.30). Since multi-reflective full subcategories are in general closed under connected limits (Adamek-Rosicky, Thm. 4.26), in particular, we can calculate not only filtered colimits but also kernel pairs as well as in a presheaf category.