let Al be QC-alphabet ; :: thesis: for A being non empty set
for x being bound_QC-variable of Al
for p being Element of CQC-WFF Al
for J being interpretation of Al,A holds J |= (All (x,p)) => p
let A be non empty set ; :: thesis: for x being bound_QC-variable of Al
for p being Element of CQC-WFF Al
for J being interpretation of Al,A holds J |= (All (x,p)) => p
let x be bound_QC-variable of Al; :: thesis: for p being Element of CQC-WFF Al
for J being interpretation of Al,A holds J |= (All (x,p)) => p
let p be Element of CQC-WFF Al; :: thesis: for J being interpretation of Al,A holds J |= (All (x,p)) => p
let J be interpretation of Al,A; :: thesis: J |= (All (x,p)) => p
let v be Element of Valuations_in (Al,A); :: according to VALUAT_1:def 8 :: thesis: J,v |= (All (x,p)) => p
thus J,v |= (All (x,p)) => p by Th38; :: thesis: verum