logo

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 ExprTuple, i
from proveit.numbers import Add, Interval, Sum, one, seven, six, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [i]
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = Add(i, two), domain = Interval(two, six)), Sum(index_or_indices = sub_expr1, summand = Add(i, one), domain = Interval(three, seven)))
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(\sum_{i = 2}^{6} \left(i + 2\right), \sum_{i = 3}^{7} \left(i + 1\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: 4
operand: 6
2Operationoperator: 4
operand: 7
3ExprTuple6
4Literal
5ExprTuple7
6Lambdaparameter: 23
body: 8
7Lambdaparameter: 23
body: 10
8Conditionalvalue: 11
condition: 12
9ExprTuple23
10Conditionalvalue: 13
condition: 14
11Operationoperator: 17
operands: 15
12Operationoperator: 19
operands: 16
13Operationoperator: 17
operands: 18
14Operationoperator: 19
operands: 20
15ExprTuple23, 28
16ExprTuple23, 21
17Literal
18ExprTuple23, 22
19Literal
20ExprTuple23, 24
21Operationoperator: 26
operands: 25
22Literal
23Variable
24Operationoperator: 26
operands: 27
25ExprTuple28, 29
26Literal
27ExprTuple30, 31
28Literal
29Literal
30Literal
31Literal