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Expression of type ExprTuple

from the theory of proveit.logic.sets.unification

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, D, ExprTuple, x
from proveit.logic import And, NotInSet, Union
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(NotInSet(x, Union(A, B, C, D)), And(NotInSet(x, A), NotInSet(x, B), NotInSet(x, C), NotInSet(x, D)))
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())
\left(x \notin \left(A \cup B \cup C \cup D\right), \left(x \notin A\right) \land \left(x \notin B\right) \land \left(x \notin C\right) \land \left(x \notin D\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 16
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple21, 6
4Literal
5ExprTuple7, 8, 9, 10
6Operationoperator: 11
operands: 12
7Operationoperator: 16
operands: 13
8Operationoperator: 16
operands: 14
9Operationoperator: 16
operands: 15
10Operationoperator: 16
operands: 17
11Literal
12ExprTuple18, 19, 20, 22
13ExprTuple21, 18
14ExprTuple21, 19
15ExprTuple21, 20
16Literal
17ExprTuple21, 22
18Variable
19Variable
20Variable
21Variable
22Variable