Boolean False

sympy.logic.boolalg.BooleanFalse

Boolean False in SymPy is a singleton that can be accessed with S.false, or by directly importing false or by importing simplify from the sympy package.

Python3




# import packages
from sympy import false
from sympy import S, sympify
 
# prints False
print(false)
 
# prints False
print(S.false)
 
# prints False
print(sympify(false))


Output:

False
False
False

negation of true is false, and negation of false is true.

Python3




# import packages
from sympy import false, true
 
print(~true,~false)


Output:

False True

What are the Logical Expressions in Sympy?

SymPy is a symbolic mathematics Python package. Its goal is to develop into a completely featured computer algebra system while keeping the code as basic as possible to make it understandable and extendable. The package is entirely written in python language. Logical expressions in sympy are expressed by using boolean functions. sympy.basic.booleanarg module of sympy contains boolean functions. 

The common Python operators & (And), | (Or), and ~ (Not) can be used to create Boolean expressions. >> and can also be used to create implications. other boolean operations or gates are NAND, NOR, XOR, etc.

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Boolean True:

sympy.logic.boolalg.BooleanTrue...

Boolean False:

...

Boolean And:

sympy.logic.boolalg.BooleanFalse...

Boolean Or:

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Boolean Not:

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Boolean Nor:

sympy.logic.boolalg.And...

Boolean Nand:

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Boolean Xor:

sympy.logic.boolalg.Or...

Boolean Xnor:

...

Boolean Equivalent

sympy.logic.boolalg.Not(arg)...

Boolean ITE:

...