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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 And, Difference, InSet, NotInSet, Set
from proveit.numbers import Add, one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Set(one, two, three)
sub_expr2 = Set(Add(one, one), three)
expr = ExprTuple(InSet(c, Difference(sub_expr1, sub_expr2)), And(InSet(c, sub_expr1), NotInSet(c, 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(c \in \left(\left\{1, 2, 3\right\} - \left\{1 + 1, 3\right\}\right), \left(c \in \left\{1, 2, 3\right\}\right) \land \left(c \notin \left\{1 + 1, 3\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
18ExprTuple26, 21, 23
19Literal
20ExprTuple22, 23
21Literal
22Operationoperator: 24
operands: 25
23Literal
24Literal
25ExprTuple26, 26
26Literal