Karnaugh map of AB ∨ AC ∨ BC. Omitting the red rectangle does not change the covered area.
In Boolean algebra, the consensus theorem or rule of consensus[1] is the identity:
The consensus or resolvent of the terms and is . It is the conjunction of all the unique literals of the terms, excluding the literal that appears unnegated in one term and negated in the other. If includes a term that is negated in (or vice versa), the consensus term is false; in other words, there is no consensus term.
The conjunctive dual of this equation is:
^Frank Markham Brown [d], Boolean Reasoning: The Logic of Boolean Equations, 2nd edition 2003, p. 44
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