logo

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, a, b, c, d, e
from proveit.logic import Difference, InSet, NotInSet, Or, Set
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Set(a, b, c, d, e)
sub_expr2 = Set(a, b, c)
expr = ExprTuple(NotInSet(b, Difference(sub_expr1, sub_expr2)), Or(NotInSet(b, sub_expr1), InSet(b, sub_expr2)))
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(b \notin \left(\left\{a, b, c, d, e\right\} - \left\{a, b, c\right\}\right), \left(b \notin \left\{a, b, c, d, e\right\}\right) \lor \left(b \in \left\{a, b, c\right\}\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: 11
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple23, 6
4Literal
5ExprTuple7, 8
6Operationoperator: 9
operands: 10
7Operationoperator: 11
operands: 12
8Operationoperator: 13
operands: 14
9Literal
10ExprTuple15, 16
11Literal
12ExprTuple23, 15
13Literal
14ExprTuple23, 16
15Operationoperator: 18
operands: 17
16Operationoperator: 18
operands: 19
17ExprTuple22, 23, 24, 20, 21
18Literal
19ExprTuple22, 23, 24
20Variable
21Variable
22Variable
23Variable
24Variable