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 ExprRange, ExprTuple, IndexedVar, Variable, a, c, l
from proveit.numbers import Add, Integer, Mult, Sum, one, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [l]
sub_expr3 = Add(l, one)
sub_expr4 = IndexedVar(c, one)
sub_expr5 = ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, zero)
expr = ExprTuple(Mult(sub_expr5, Sum(index_or_indices = sub_expr2, summand = sub_expr3, domain = Integer), sub_expr4), Sum(index_or_indices = sub_expr2, summand = Mult(sub_expr5, sub_expr3, sub_expr4), 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(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{0} \cdot \left[\sum_{l \in \mathbb{Z}}~\left(l + 1\right)\right] \cdot c_{1}, \sum_{l \in \mathbb{Z}}~\left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{0} \cdot \left(l + 1\right) \cdot c_{1}\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: 14 operands: 3
2	Operation	operator: 7 operand: 6
3	ExprTuple	17, 5, 19
4	ExprTuple	6
5	Operation	operator: 7 operand: 10
6	Lambda	parameter: 30 body: 9
7	Literal
8	ExprTuple	10
9	Conditional	value: 11 condition: 16
10	Lambda	parameter: 30 body: 13
11	Operation	operator: 14 operands: 15
12	ExprTuple	30
13	Conditional	value: 18 condition: 16
14	Literal
15	ExprTuple	17, 18, 19
16	Operation	operator: 20 operands: 21
17	ExprRange	lambda_map: 22 start_index: 31 end_index: 23
18	Operation	operator: 24 operands: 25
19	IndexedVar	variable: 26 index: 31
20	Literal
21	ExprTuple	30, 28
22	Lambda	parameter: 34 body: 29
23	Literal
24	Literal
25	ExprTuple	30, 31
26	Variable
27	ExprTuple	31
28	Literal
29	IndexedVar	variable: 32 index: 34
30	Variable
31	Literal
32	Variable
33	ExprTuple	34
34	Variable