Expression of type ExprTuple

from the theory of proveit.numbers.summation

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

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Exp(i, two)
expr = ExprTuple(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))), Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Interval(one, nine)))

expr:

# 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

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\left(\sum_{i = 1}^{5} i^{2}\right) + \left(\sum_{i = 6}^{9} i^{2}\right), \sum_{i = 1}^{9} i^{2}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 10 operand: 8
3	Literal
4	ExprTuple	6, 7
5	ExprTuple	8
6	Operation	operator: 10 operand: 13
7	Operation	operator: 10 operand: 14
8	Lambda	parameter: 32 body: 12
9	ExprTuple	13
10	Literal
11	ExprTuple	14
12	Conditional	value: 21 condition: 15
13	Lambda	parameter: 32 body: 16
14	Lambda	parameter: 32 body: 18
15	Operation	operator: 27 operands: 19
16	Conditional	value: 21 condition: 20
17	ExprTuple	32
18	Conditional	value: 21 condition: 22
19	ExprTuple	32, 23
20	Operation	operator: 27 operands: 24
21	Operation	operator: 25 operands: 26
22	Operation	operator: 27 operands: 28
23	Operation	operator: 35 operands: 29
24	ExprTuple	32, 30
25	Literal
26	ExprTuple	32, 31
27	Literal
28	ExprTuple	32, 33
29	ExprTuple	37, 40
30	Operation	operator: 35 operands: 34
31	Literal
32	Variable
33	Operation	operator: 35 operands: 36
34	ExprTuple	37, 38
35	Literal
36	ExprTuple	39, 40
37	Literal
38	Literal
39	Literal
40	Literal