Sub_P P,ll,Sub = [(P ! ll),Sub]
by SUBSTUT1:9;
then
(Sub_P P,ll,Sub) `1 = P ! ll
by MCART_1:7;
then consider S being Element of QC-Sub-WFF such that
A1:
( S = Sub_P P,ll,Sub & S `1 in CQC-WFF )
;
Sub_P P,ll,Sub in CQC-Sub-WFF
by A1, SUBSTUT1:def 39;
hence
Sub_P P,ll,Sub is Element of CQC-Sub-WFF
; :: thesis: verum