let x, y, c be non pair set ; :: thesis: for s being State of (MajorityCirc x,y,c)
for a1, a3 being Element of BOOLEAN st a1 = s . x & a3 = s . c holds
(Following s,2) . [<*c,x*>,'&' ] = a3 '&' a1
let s be State of (MajorityCirc x,y,c); :: thesis: for a1, a3 being Element of BOOLEAN st a1 = s . x & a3 = s . c holds
(Following s,2) . [<*c,x*>,'&' ] = a3 '&' a1
reconsider a = y as Vertex of (MajorityStr x,y,c) by Th72;
s . a is Element of BOOLEAN
;
hence
for a1, a3 being Element of BOOLEAN st a1 = s . x & a3 = s . c holds
(Following s,2) . [<*c,x*>,'&' ] = a3 '&' a1
by Lm4; :: thesis: verum