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, 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(Add(five, one), 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 = 5 + 1}^{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: 38 operands: 3
2	Operation	operator: 9 operand: 7
3	ExprTuple	5, 6
4	ExprTuple	7
5	Operation	operator: 9 operand: 12
6	Operation	operator: 9 operand: 13
7	Lambda	parameter: 31 body: 11
8	ExprTuple	12
9	Literal
10	ExprTuple	13
11	Conditional	value: 20 condition: 14
12	Lambda	parameter: 31 body: 15
13	Lambda	parameter: 31 body: 17
14	Operation	operator: 26 operands: 18
15	Conditional	value: 20 condition: 19
16	ExprTuple	31
17	Conditional	value: 20 condition: 21
18	ExprTuple	31, 22
19	Operation	operator: 26 operands: 23
20	Operation	operator: 24 operands: 25
21	Operation	operator: 26 operands: 27
22	Operation	operator: 34 operands: 28
23	ExprTuple	31, 29
24	Literal
25	ExprTuple	31, 30
26	Literal
27	ExprTuple	31, 32
28	ExprTuple	41, 37
29	Operation	operator: 34 operands: 33
30	Literal
31	Variable
32	Operation	operator: 34 operands: 35
33	ExprTuple	41, 40
34	Literal
35	ExprTuple	36, 37
36	Operation	operator: 38 operands: 39
37	Literal
38	Literal
39	ExprTuple	40, 41
40	Literal
41	Literal