thus and3b . <*0,0,0*> = (('not' FALSE) '&' ('not' FALSE)) '&' FALSE by Def11
.= 0 ; :: thesis: ( and3b . <*0,0,1*> = 1 & and3b . <*0,1,0*> = 0 & and3b . <*0,1,1*> = 0 & and3b . <*1,0,0*> = 0 & and3b . <*1,0,1*> = 0 & and3b . <*1,1,0*> = 0 & and3b . <*1,1,1*> = 0 )
thus and3b . <*0,0,1*> = (TRUE '&' ('not' FALSE)) '&' TRUE by Def11
.= 1 ; :: thesis: ( and3b . <*0,1,0*> = 0 & and3b . <*0,1,1*> = 0 & and3b . <*1,0,0*> = 0 & and3b . <*1,0,1*> = 0 & and3b . <*1,1,0*> = 0 & and3b . <*1,1,1*> = 0 )
thus and3b . <*0,1,0*> = (('not' FALSE) '&' ('not' TRUE)) '&' FALSE by Def11
.= 0 ; :: thesis: ( and3b . <*0,1,1*> = 0 & and3b . <*1,0,0*> = 0 & and3b . <*1,0,1*> = 0 & and3b . <*1,1,0*> = 0 & and3b . <*1,1,1*> = 0 )
thus and3b . <*0,1,1*> = (('not' FALSE) '&' ('not' TRUE)) '&' TRUE by Def11
.= 0 ; :: thesis: ( and3b . <*1,0,0*> = 0 & and3b . <*1,0,1*> = 0 & and3b . <*1,1,0*> = 0 & and3b . <*1,1,1*> = 0 )
thus and3b . <*1,0,0*> = (('not' TRUE) '&' ('not' FALSE)) '&' FALSE by Def11
.= 0 ; :: thesis: ( and3b . <*1,0,1*> = 0 & and3b . <*1,1,0*> = 0 & and3b . <*1,1,1*> = 0 )
thus and3b . <*1,0,1*> = (('not' TRUE) '&' ('not' FALSE)) '&' TRUE by Def11
.= 0 ; :: thesis: ( and3b . <*1,1,0*> = 0 & and3b . <*1,1,1*> = 0 )
thus and3b . <*1,1,0*> = (('not' TRUE) '&' ('not' TRUE)) '&' FALSE by Def11
.= 0 ; :: thesis: and3b . <*1,1,1*> = 0
thus and3b . <*1,1,1*> = (FALSE '&' ('not' TRUE)) '&' TRUE by Def11
.= 0 ; :: thesis: verum