let A be QC-alphabet ; :: thesis: for H being Element of QC-WFF A st H is conjunctive holds
Subformulae H = ((Subformulae (the_left_argument_of H)) \/ (Subformulae (the_right_argument_of H))) \/ {H}
let H be Element of QC-WFF A; :: thesis: ( H is conjunctive implies Subformulae H = ((Subformulae (the_left_argument_of H)) \/ (Subformulae (the_right_argument_of H))) \/ {H} )
assume H is conjunctive ; :: thesis: Subformulae H = ((Subformulae (the_left_argument_of H)) \/ (Subformulae (the_right_argument_of H))) \/ {H}
then H = (the_left_argument_of H) '&' (the_right_argument_of H) by Th3;
hence Subformulae H = ((Subformulae (the_left_argument_of H)) \/ (Subformulae (the_right_argument_of H))) \/ {H} by Th89; :: thesis: verum