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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 ExprTuple, i
from proveit.numbers import Add, Exp, Interval, Sum, five, nine, one, six, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Exp(i, two)
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Interval(one, nine)), Add(Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Interval(one, five)), Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Interval(six, 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(\sum_{i = 1}^{9} i^{2}, \left(\sum_{i = 1}^{5} i^{2}\right) + \left(\sum_{i = 6}^{9} i^{2}\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
operand: 6
2Operationoperator: 4
operands: 5
3ExprTuple6
4Literal
5ExprTuple7, 8
6Lambdaparameter: 32
body: 9
7Operationoperator: 11
operand: 14
8Operationoperator: 11
operand: 15
9Conditionalvalue: 22
condition: 13
10ExprTuple14
11Literal
12ExprTuple15
13Operationoperator: 28
operands: 16
14Lambdaparameter: 32
body: 17
15Lambdaparameter: 32
body: 19
16ExprTuple32, 20
17Conditionalvalue: 22
condition: 21
18ExprTuple32
19Conditionalvalue: 22
condition: 23
20Operationoperator: 35
operands: 24
21Operationoperator: 28
operands: 25
22Operationoperator: 26
operands: 27
23Operationoperator: 28
operands: 29
24ExprTuple37, 40
25ExprTuple32, 30
26Literal
27ExprTuple32, 31
28Literal
29ExprTuple32, 33
30Operationoperator: 35
operands: 34
31Literal
32Variable
33Operationoperator: 35
operands: 36
34ExprTuple37, 38
35Literal
36ExprTuple39, 40
37Literal
38Literal
39Literal
40Literal