theorem
(
or2 . <*0,0*> = 0 &
or2 . <*0,1*> = 1 &
or2 . <*1,0*> = 1 &
or2 . <*1,1*> = 1 &
or2a . <*0,0*> = 1 &
or2a . <*0,1*> = 1 &
or2a . <*1,0*> = 0 &
or2a . <*1,1*> = 1 &
nand2 . <*0,0*> = 1 &
nand2 . <*0,1*> = 1 &
nand2 . <*1,0*> = 1 &
nand2 . <*1,1*> = 0 )