
theorem Th8:
  for S being non empty non void ManySortedSign
  for A1,A2,B1 being MSAlgebra over S, B2 being non-empty MSAlgebra over S
  st the MSAlgebra of A1 = the MSAlgebra of A2 &
  the MSAlgebra of B1 = the MSAlgebra of B2
  for h1 being ManySortedFunction of A1,B1
  for h2 being ManySortedFunction of A2,B2 st h1 = h2 &
  h1 is_epimorphism A1,B1 holds h2 is_epimorphism A2,B2
  by MSAFREE4:30;
