reserve A for QC-alphabet;
reserve sq for FinSequence,
  x,y,z for bound_QC-variable of A,
  p,q,p1,p2,q1 for Element of QC-WFF(A);
reserve s,t for bound_QC-variable of A;
reserve F,G,H,H1 for Element of QC-WFF(A);

theorem
  H is conditional implies H is negative & the_argument_of H is
  conjunctive & the_right_argument_of the_argument_of H is negative
proof
  given F,G such that
A1: H = F => G;
  the_argument_of 'not'(F '&' 'not' G) = F '&' 'not' G &
  the_right_argument_of (F '&' 'not' G) = 'not' G by Th1,Th4;
  hence thesis by A1;
end;
