let k be Element of NAT ; :: thesis: for P being QC-pred_symbol of k
for ll being CQC-variable_list of k
for Sub being CQC_Substitution holds P ! (CQC_Subst (ll,Sub)) is Element of CQC-WFF
let P be QC-pred_symbol of k; :: thesis: for ll being CQC-variable_list of k
for Sub being CQC_Substitution holds P ! (CQC_Subst (ll,Sub)) is Element of CQC-WFF
let ll be CQC-variable_list of k; :: thesis: for Sub being CQC_Substitution holds P ! (CQC_Subst (ll,Sub)) is Element of CQC-WFF
let Sub be CQC_Substitution; :: thesis: P ! (CQC_Subst (ll,Sub)) is Element of CQC-WFF
CQC_Sub (Sub_P (P,ll,Sub)) = P ! (CQC_Subst (ll,Sub)) by Th9;
hence P ! (CQC_Subst (ll,Sub)) is Element of CQC-WFF ; :: thesis: verum