let x be bound_QC-variable; for p being Element of QC-WFF holds (All x,p) . x = All x,p
let p be Element of QC-WFF ; (All x,p) . x = All x,p
set q = All x,p;
A1:
All x,p is universal
by QC_LANG1:def 20;
then
bound_in (All x,p) = x
by QC_LANG1:def 26;
hence
(All x,p) . x = All x,p
by A1, Th35; verum