let Al be QC-alphabet ; :: thesis: for A being non empty set
for v being Element of Valuations_in (Al,A)
for J being interpretation of Al,A holds J,v |= VERUM Al
let A be non empty set ; :: thesis: for v being Element of Valuations_in (Al,A)
for J being interpretation of Al,A holds J,v |= VERUM Al
let v be Element of Valuations_in (Al,A); :: thesis: for J being interpretation of Al,A holds J,v |= VERUM Al
let J be interpretation of Al,A; :: thesis: J,v |= VERUM Al
((Valuations_in (Al,A)) --> TRUE) . v = TRUE by FUNCOP_1:7;
then (Valid ((VERUM Al),J)) . v = TRUE by Lm1;
hence J,v |= VERUM Al ; :: thesis: verum