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Expression of type Not

from the theory of proveit.logic.booleans.disjunction

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import A, B, C
from proveit.logic import And, Not
In [2]:
# build up the expression from sub-expressions
expr = Not(And(Not(A), Not(B), Not(C)))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\lnot \left((\lnot A) \land (\lnot B) \land (\lnot C)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 10
operand: 2
1ExprTuple2
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple5, 6, 7
5Operationoperator: 10
operand: 12
6Operationoperator: 10
operand: 13
7Operationoperator: 10
operand: 14
8ExprTuple12
9ExprTuple13
10Literal
11ExprTuple14
12Variable
13Variable
14Variable