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Expression of type ExprTuple

from the theory of proveit.logic.sets.subtraction

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 ExprTuple
from proveit.logic import InSet, NotInSet, Set
from proveit.numbers import Add, five, four, one, three, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(NotInSet(three, Set(one, two, three, four, five)), InSet(three, Set(one, Add(one, two))))
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(3 \notin \left\{1, 2, 3, 4, 5\right\}, 3 \in \left\{1, 1 + 2\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: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple12, 7
5Literal
6ExprTuple12, 8
7Operationoperator: 10
operands: 9
8Operationoperator: 10
operands: 11
9ExprTuple18, 19, 12, 13, 14
10Literal
11ExprTuple18, 15
12Literal
13Literal
14Literal
15Operationoperator: 16
operands: 17
16Literal
17ExprTuple18, 19
18Literal
19Literal