ex F being Function of (CQC-WFF F1()),F2() st
( F . (VERUM F1()) = F4() & ( for r, s being Element of CQC-WFF F1()
for x being bound_QC-variable of F1()
for k being Nat
for l being CQC-variable_list of k,F1()
for P being QC-pred_symbol of k,F1() holds
( F . (P ! l) = F5(k,P,l) & F . ('not' r) = F6((F . r)) & F . (r '&' s) = F7((F . r),(F . s)) & F . (All (x,r)) = F8(x,(F . r)) ) ) ) from CQC_LANG:sch 2();
hence F3((VERUM F1())) = F4() by A1; :: thesis: verum