reserve x,y,y1,y2 for set;
reserve G for Group;
reserve a,b,c,d,g,h for Element of G;
reserve A,B,C,D for Subset of G;
reserve H,H1,H2,H3 for Subgroup of G;
reserve n for Nat;
reserve i for Integer;

theorem Th76:
  a,b are_conjugated implies b,a are_conjugated
proof
  given g such that
A1: a = b |^ g;
  b = a |^ g" by A1,Th25;
  hence thesis;
end;
