=IF((COUNTIF(B:B,A1)>0)*(COUNTIF(D

,C1)>0),TRUE,FALSE)
your nomenclature is a little funny, but I think I understand what you want.
If A1 is found at least once in column B, and C1 can be found at least once
in column D, then this statement will return true.
You might want to start a new post detailing this question if I am not
understanding you correctly. Be sure to provide a sample of the data you
have, and the results you want. Be as detailed as possible.
For Example:
A B C D E
1 apple orange red red TRUE
2 orange apple yellow duck FALSE
3 banana apple purple purple FALSE
4 pineapple pineapple duck blue TRUE
E1 is TRUE because "apple" can be found in column B, and "red" can be found
in column D.
E2 is FALSE because "yellow" can not be found in column D.
E3 is FALSE because "banana" can not be found in column B.