for S being non empty non void ManySortedSign
for A1, A2 being non-empty MSAlgebra over S
for h being ManySortedFunction of A1,A2 st h is_homomorphism A1,A2 holds
for o being OperSymbol of S
for i being Element of NAT st i in dom (the_arity_of o) holds
for a being Element of Args (o,A1) holds (h . (the_result_sort_of o)) * (transl (o,i,a,A1)) = (transl (o,i,(h # a),A2)) * (h . ((the_arity_of o) /. i))