for S1, S2 being non empty non void ManySortedSign
for X being V2() ManySortedSet of the carrier of S2
for f being Function of the carrier of S1, the carrier of S2
for g being Function st f,g form_morphism_between S1,S2 holds
for t being Term of S1,(X * f) holds
( ((hom (f,g,X,S1,S2)) . (the_sort_of t)) . t is CompoundTerm of S2,X iff t is CompoundTerm of S1,X * f )