boolean operation properties

	A	B	C	D	E	F	G	H	I	J
1		Expression	1	2	3	4	5	6	7	8
2		a	FALSE	FALSE	FALSE	FALSE	TRUE	TRUE	TRUE	TRUE
3		b	FALSE	FALSE	TRUE	TRUE	FALSE	FALSE	TRUE	TRUE
4		c	FALSE	TRUE	FALSE	TRUE	FALSE	TRUE	FALSE	TRUE
5	AND → OR	a AND (b OR c)	FALSE	FALSE	FALSE	FALSE	FALSE	TRUE	TRUE	TRUE
6	AND → OR	(a AND b) OR (a AND c)	FALSE	FALSE	FALSE	FALSE	FALSE	TRUE	TRUE	TRUE
7	AND → XOR	a AND (b XOR c)	FALSE	FALSE	FALSE	FALSE	FALSE	TRUE	TRUE	FALSE
8	AND → XOR	(a AND b) XOR (a AND c)	FALSE	FALSE	FALSE	FALSE	FALSE	TRUE	TRUE	FALSE
9	OR → AND	a OR (b AND c)	FALSE	FALSE	FALSE	TRUE	TRUE	TRUE	TRUE	TRUE
10	OR → AND	(a OR b) AND (a OR c)	FALSE	FALSE	FALSE	TRUE	TRUE	TRUE	TRUE	TRUE
11	OR → XOR	a OR (b XOR c)	FALSE	TRUE	TRUE	FALSE	TRUE	TRUE	TRUE	TRUE
12	OR → XOR	(a OR b) XOR (a OR c)	FALSE	TRUE	TRUE	FALSE	FALSE	FALSE	FALSE	FALSE
13	XOR → AND	a XOR (b AND c)	FALSE	FALSE	FALSE	TRUE	TRUE	TRUE	TRUE	FALSE
14	XOR → AND	(a XOR b) AND (a XOR c)	FALSE	FALSE	FALSE	TRUE	TRUE	FALSE	FALSE	FALSE
15	XOR → OR	a XOR (b OR c)	FALSE	TRUE	TRUE	TRUE	TRUE	FALSE	FALSE	FALSE
16	XOR → OR	(a XOR b) OR (a XOR c)	FALSE	TRUE	TRUE	TRUE	TRUE	TRUE	TRUE	FALSE
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