theorem Th31: :: SUBLEMMA:31

for Al being QC-alphabet
for x being bound_QC-variable of Al
for S being Element of CQC-Sub-WFF Al
for xSQ being second_Q_comp of [S,x] st [S,x] is quantifiable holds
CQCQuant ((CQCSub_All ([S,x],xSQ)),(CQC_Sub S)) = All ((S_Bound (@ (CQCSub_All ([S,x],xSQ)))),(CQC_Sub S))