let Al be QC-alphabet ; :: thesis: for A being non empty set
for p, q being Element of CQC-WFF Al
for J being interpretation of Al,A holds J |= p => (('not' p) => q)
let A be non empty set ; :: thesis: for p, q being Element of CQC-WFF Al
for J being interpretation of Al,A holds J |= p => (('not' p) => q)
let p, q be Element of CQC-WFF Al; :: thesis: for J being interpretation of Al,A holds J |= p => (('not' p) => q)
let J be interpretation of Al,A; :: thesis: J |= p => (('not' p) => q)
let v be Element of Valuations_in (Al,A); :: according to VALUAT_1:def 8 :: thesis: J,v |= p => (('not' p) => q)
thus J,v |= p => (('not' p) => q) by Th35; :: thesis: verum