factoring morphisms into composites #709
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update for HomSearch split
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The general problem solved is that we have an
f: A -> Cand want to factor it intog;horh;g(wheregis known andhis being solved for). This is tantamount to homomorphism search in a (co)-slice category.This is implemented in C-Set as well as slice cats. The hope is that the main code can be written agnostic to what category we are working in, and whether or not one's particular types implement
homomorphismsandfactorize_constraintsdictates howfactorizebehaves on a (co)span of morphisms in a given category.