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LogicalExpand

LogicalExpand[expr]
expands out logical combinations of equations, inequalities and other functions.

LogicalExpand generates ORs of ANDs corresponding to disjunctive normal form, with some contractions.

Expand out logic expressions:

Represent logic expressions as a disjunction of conjunctions (disjunctive normal form):

Simplify logic expressions:

Expand logic expressions out to forms involving only And, Or and Not:

Expand out combinations of equations:

Get separate equations for different terms in a series:

Convert multi-argument equations and inequalities to two-argument form:

Expand negations of Element statements:

Prove tautologies:

The output of LogicalExpand is equivalent to the input:

De Morgan's laws:

An expanded Xor of

variables will always contain

terms:

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