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Expression of type ExprTuple

from the theory of proveit.numbers.summation

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 Conditional, ExprTuple, k
from proveit.logic import InSet
from proveit.numbers import Add, Interval, eight, nine, one, subtract, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = subtract(k, two)
expr = ExprTuple(Conditional(sub_expr1, InSet(k, Interval(Add(eight, one), nine))), Conditional(sub_expr1, InSet(k, Interval(nine, nine))))
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(k - 2 \textrm{ if } k \in \{8 + 1~\ldotp \ldotp~9\}, k - 2 \textrm{ if } k \in \{9~\ldotp \ldotp~9\}\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
1Conditionalvalue: 4
condition: 3
2Conditionalvalue: 4
condition: 5
3Operationoperator: 8
operands: 6
4Operationoperator: 22
operands: 7
5Operationoperator: 8
operands: 9
6ExprTuple12, 10
7ExprTuple12, 11
8Literal
9ExprTuple12, 13
10Operationoperator: 17
operands: 14
11Operationoperator: 15
operand: 20
12Variable
13Operationoperator: 17
operands: 18
14ExprTuple19, 21
15Literal
16ExprTuple20
17Literal
18ExprTuple21, 21
19Operationoperator: 22
operands: 23
20Literal
21Literal
22Literal
23ExprTuple24, 25
24Literal
25Literal