let A be non empty set ; :: thesis: for p, q, t being Element of CQC-WFF
for J being interpretation of A holds J |= (p => q) => (('not' (q '&' t)) => ('not' (p '&' t)))
let p, q, t be Element of CQC-WFF ; :: thesis: for J being interpretation of A holds J |= (p => q) => (('not' (q '&' t)) => ('not' (p '&' t)))
let J be interpretation of A; :: thesis: J |= (p => q) => (('not' (q '&' t)) => ('not' (p '&' t)))
let v be Element of Valuations_in A; :: according to VALUAT_1:def 8 :: thesis: J,v |= (p => q) => (('not' (q '&' t)) => ('not' (p '&' t)))
thus J,v |= (p => q) => (('not' (q '&' t)) => ('not' (p '&' t))) by Th48; :: thesis: verum