theorem :: CATALG_1:34

for C1, C2 being Category
for F being Functor of C1,C2 ex H being ManySortedFunction of (MSAlg C1),((MSAlg C2) | ((CatSign the carrier of C1),(Upsilon F),(Psi F))) st
( H = F -MSF ( the carrier of (CatSign the carrier of C1), the Sorts of (MSAlg C1)) & H is_homomorphism MSAlg C1,(MSAlg C2) | ((CatSign the carrier of C1),(Upsilon F),(Psi F)) )