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Implicant
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{{Use dmy dates|date=May 2019|cs1-dates=y}} In [[Boolean logic]], the term '''implicant''' has either a generic or a particular meaning. In the generic use, it refers to the hypothesis of an implication ([[wiktionary:implicant|implicant]]). In the particular use, a [[product term]] (i.e., a conjunction of literals) ''P'' is an '''implicant''' of a Boolean function ''F'', denoted <math> P \le F</math>, if ''P'' implies ''F'' (i.e., whenever ''P'' takes the value 1 so does ''F''). For instance, implicants of the function :<math>f(x,y,z,w)=xy+yz+w</math> include the terms <math>xy</math>, <math>xyz</math>, <math>xyzw</math>, <math>w</math>, as well as some others.
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