let A be non empty set ; :: thesis: for x being bound_QC-variable
for p being Element of CQC-WFF
for J being interpretation of A holds J |= (All x,p) => p
let x be bound_QC-variable; :: thesis: for p being Element of CQC-WFF
for J being interpretation of A holds J |= (All x,p) => p
let p be Element of CQC-WFF ; :: thesis: for J being interpretation of A holds J |= (All x,p) => p
let J be interpretation of A; :: thesis: J |= (All x,p) => p
let v be Element of Valuations_in A; :: according to VALUAT_1:def 13 :: thesis: J,v |= (All x,p) => p
thus J,v |= (All x,p) => p by Th50; :: thesis: verum