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In [1]:
import proveit
# Automation is not needed when only 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 the special expression
from proveit.logic.booleans.quantification import general_notexists_notPy_st_Qy
In [2]:
# check that the built expression is the same as the stored expression
assert general_notexists_notPy_st_Qy == stored_expr
assert general_notexists_notPy_st_Qy._style_id == stored_expr._style_id
print("Passed sanity check: general_notexists_notPy_st_Qy matches stored_expr")
Passed sanity check: general_notexists_notPy_st_Qy matches stored_expr
In [3]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\nexists_{y_{1}, y_{2}, \ldots, y_{n}~|~Q\left(y_{1}, y_{2}, \ldots, y_{n}\right)}~(\lnot P\left(y_{1}, y_{2}, \ldots, y_{n}\right))
In [4]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
with_wrappingIf 'True', wrap the Expression after the parametersNoneNone/False('with_wrapping',)
condition_wrappingWrap 'before' or 'after' the condition (or None).NoneNone/False('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_paramsIf 'True', wraps every two parameters AND wraps the Expression after the parametersNoneNone/False('with_params',)
justificationjustify to the 'left', 'center', or 'right' in the array cellscentercenter('with_justification',)
In [5]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Lambdaparameters: 12
body: 4
4Conditionalvalue: 5
condition: 6
5Operationoperator: 7
operand: 10
6Operationoperator: 9
operands: 12
7Literal
8ExprTuple10
9Variable
10Operationoperator: 11
operands: 12
11Variable
12ExprTuple13
13ExprRangelambda_map: 14
start_index: 15
end_index: 16
14Lambdaparameter: 20
body: 17
15Literal
16Variable
17IndexedVarvariable: 18
index: 20
18Variable
19ExprTuple20
20Variable