reserve x,y,X,Y for set;
reserve C for non empty set;
reserve c for Element of C;
reserve f,f1,f2,f3,g,g1 for PartFunc of C,COMPLEX;
reserve r1,r2,p1 for Real;
reserve r,q,cr1,cr2 for Complex;

theorem Th43:
  g (#) (f1/f2) = (g (#) f1)/f2
proof
  thus g (#) (f1/f2) = g (#) (f1 (#) (f2^)) by Th38
    .= g (#) f1 (#) (f2^) by Th14
    .= (g (#) f1)/f2 by Th38;
end;
