reserve p,p1,p2,q,r,F,G,G1,G2,H,H1,H2 for ZF-formula,
  x,x1,x2,y,y1,y2,z,z1,z2,s,t for Variable,
  a,X for set;

theorem
  H is biconditional implies H is conjunctive & the_left_argument_of H
  is conditional & the_right_argument_of H is conditional
by Th4;
