theorem Th44: :: CAT_4:44

for C being Category holds
( C is with_finite_coproduct iff ( ex a being Object of C st a is initial & ( for a, b being Object of C ex c being Object of C ex i1, i2 being Morphism of C st
( dom i1 = a & dom i2 = b & cod i1 = c & cod i2 = c & c is_a_coproduct_wrt i1,i2 ) ) ) )