consider g being ManySortedCategory of A;
consider f being ManySortedFunctor of g * F,g * G;
take I = [g,f]; :: thesis: I `2 is ManySortedFunctor of (I `1) * F,(I `1) * G
I `1 = g by MCART_1:7;
hence I `2 is ManySortedFunctor of (I `1) * F,(I `1) * G by MCART_1:7; :: thesis: verum