let A be non empty set ; :: thesis: for p, q being Element of CQC-WFF
for J being interpretation of A holds J |= p => (('not' p) => q)
let p, q be Element of CQC-WFF ; :: thesis: for J being interpretation of A holds J |= p => (('not' p) => q)
let J be interpretation of A; :: thesis: J |= p => (('not' p) => q)
let v be Element of Valuations_in A; :: according to VALUAT_1:def 8 :: thesis: J,v |= p => (('not' p) => q)
thus J,v |= p => (('not' p) => q) by Th47; :: thesis: verum