If and
(i.e.,
, where
denotes NOT,
denotes implies, and
denotes AND), then
and
are said to be inequivalent, a relationship which is written symbolically as
,
, or
. Nonequivalence is implemented in the Wolfram Language as Unequal[A, B, ...]. Binary nonequivalence has the same truth table as XOR (i.e., exclusive disjunction), reproduced below.
| T | T | F |
| T | F | T |
| F | T | T |
| F | F | F |