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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, c
from proveit.logic import Difference, InSet, NotInSet, Or, Set
from proveit.numbers import Add, four, one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Add(one, one)
sub_expr2 = Set(one, sub_expr1, three, Add(two, two))
sub_expr3 = Set(sub_expr1, Add(two, one), four)
expr = ExprTuple(NotInSet(c, Difference(sub_expr2, sub_expr3)), Or(NotInSet(c, sub_expr2), InSet(c, sub_expr3)))
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(c \notin \left(\left\{1, 1 + 1, 3, 2 + 2\right\} - \left\{1 + 1, 2 + 1, 4\right\}\right), \left(c \notin \left\{1, 1 + 1, 3, 2 + 2\right\}\right) \lor \left(c \in \left\{1 + 1, 2 + 1, 4\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
3ExprTuple16, 6
4Literal
5ExprTuple7, 8
6Operationoperator: 9
operands: 10
7Operationoperator: 11
operands: 12
8Operationoperator: 13
operands: 14
9Literal
10ExprTuple15, 17
11Literal
12ExprTuple16, 15
13Literal
14ExprTuple16, 17
15Operationoperator: 19
operands: 18
16Variable
17Operationoperator: 19
operands: 20
18ExprTuple31, 23, 21, 22
19Literal
20ExprTuple23, 24, 25
21Literal
22Operationoperator: 28
operands: 26
23Operationoperator: 28
operands: 27
24Operationoperator: 28
operands: 29
25Literal
26ExprTuple30, 30
27ExprTuple31, 31
28Literal
29ExprTuple30, 31
30Literal
31Literal