let Al be QC-alphabet ; :: thesis: for X being Subset of (CQC-WFF Al)
for p being Element of CQC-WFF Al
for x being bound_QC-variable of Al holds (All (x,p)) => p in Cn X
let X be Subset of (CQC-WFF Al); :: thesis: for p being Element of CQC-WFF Al
for x being bound_QC-variable of Al holds (All (x,p)) => p in Cn X
let p be Element of CQC-WFF Al; :: thesis: for x being bound_QC-variable of Al holds (All (x,p)) => p in Cn X
let x be bound_QC-variable of Al; :: thesis: (All (x,p)) => p in Cn X
for T being Subset of (CQC-WFF Al) st T is being_a_theory & X c= T holds
(All (x,p)) => p in T ;
hence (All (x,p)) => p in Cn X by Def2; :: thesis: verum