let Y be non empty set ; :: thesis: for a, b being Element of Funcs Y,BOOLEAN holds a 'nor' (a 'nand' b) = O_el Y
let a, b be Element of Funcs Y,BOOLEAN ; :: thesis: a 'nor' (a 'nand' b) = O_el Y
thus a 'nor' (a 'nand' b) = (('not' a) '&' a) '&' b by Th37
.= (O_el Y) '&' b by BVFUNC_4:5
.= O_el Y by BVFUNC_1:8 ; :: thesis: verum