thus or3a . <*0 ,0 ,0 *> =
('not' FALSE ) 'or' FALSE
by Def25
.=
1
; :: thesis: ( or3a . <*0 ,0 ,1*> = 1 & or3a . <*0 ,1,0 *> = 1 & or3a . <*0 ,1,1*> = 1 & or3a . <*1,0 ,0 *> = 0 & or3a . <*1,0 ,1*> = 1 & or3a . <*1,1,0 *> = 1 & or3a . <*1,1,1*> = 1 )
thus or3a . <*0 ,0 ,1*> =
(('not' FALSE ) 'or' FALSE ) 'or' TRUE
by Def25
.=
1
; :: thesis: ( or3a . <*0 ,1,0 *> = 1 & or3a . <*0 ,1,1*> = 1 & or3a . <*1,0 ,0 *> = 0 & or3a . <*1,0 ,1*> = 1 & or3a . <*1,1,0 *> = 1 & or3a . <*1,1,1*> = 1 )
thus or3a . <*0 ,1,0 *> =
(('not' FALSE ) 'or' TRUE ) 'or' FALSE
by Def25
.=
1
; :: thesis: ( or3a . <*0 ,1,1*> = 1 & or3a . <*1,0 ,0 *> = 0 & or3a . <*1,0 ,1*> = 1 & or3a . <*1,1,0 *> = 1 & or3a . <*1,1,1*> = 1 )
thus or3a . <*0 ,1,1*> =
(('not' FALSE ) 'or' TRUE ) 'or' TRUE
by Def25
.=
1
; :: thesis: ( or3a . <*1,0 ,0 *> = 0 & or3a . <*1,0 ,1*> = 1 & or3a . <*1,1,0 *> = 1 & or3a . <*1,1,1*> = 1 )
thus or3a . <*1,0 ,0 *> =
('not' TRUE ) 'or' FALSE
by Def25
.=
0
; :: thesis: ( or3a . <*1,0 ,1*> = 1 & or3a . <*1,1,0 *> = 1 & or3a . <*1,1,1*> = 1 )
thus or3a . <*1,0 ,1*> =
(('not' TRUE ) 'or' FALSE ) 'or' TRUE
by Def25
.=
1
; :: thesis: ( or3a . <*1,1,0 *> = 1 & or3a . <*1,1,1*> = 1 )
thus or3a . <*1,1,0 *> =
TRUE 'or' FALSE
by Def25
.=
1
; :: thesis: or3a . <*1,1,1*> = 1
thus or3a . <*1,1,1*> =
(('not' TRUE ) 'or' TRUE ) 'or' TRUE
by Def25
.=
1
; :: thesis: verum