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, a, b, l
from proveit.numbers import Add, Integer, Mult, Sum, one

# build up the expression from sub-expressions
sub_expr1 = [l]
sub_expr2 = Add(l, one)
sub_expr3 = Mult(a, b)
expr = ExprTuple(Mult(Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Integer), sub_expr3), Sum(index_or_indices = sub_expr1, summand = Mult(sub_expr2, sub_expr3), domain = Integer))

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_{l \in \mathbb{Z}}~\left(l + 1\right)\right] \cdot \left(a \cdot b\right), \sum_{l \in \mathbb{Z}}~\left(\left(l + 1\right) \cdot \left(a \cdot b\right)\right)\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: 22 operands: 3
2	Operation	operator: 7 operand: 6
3	ExprTuple	5, 17
4	ExprTuple	6
5	Operation	operator: 7 operand: 10
6	Lambda	parameter: 25 body: 9
7	Literal
8	ExprTuple	10
9	Conditional	value: 11 condition: 15
10	Lambda	parameter: 25 body: 13
11	Operation	operator: 22 operands: 14
12	ExprTuple	25
13	Conditional	value: 16 condition: 15
14	ExprTuple	16, 17
15	Operation	operator: 18 operands: 19
16	Operation	operator: 20 operands: 21
17	Operation	operator: 22 operands: 23
18	Literal
19	ExprTuple	25, 24
20	Literal
21	ExprTuple	25, 26
22	Literal
23	ExprTuple	27, 28
24	Literal
25	Variable
26	Literal
27	Variable
28	Variable