Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

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, Function, k, t, v, vk
from proveit.linear_algebra import VecAdd, VecSum
from proveit.numbers import Exp, Interval, one, subtract, two, zero

# build up the expression from sub-expressions
sub_expr1 = [k]
sub_expr2 = Exp(two, t)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = vk, domain = Interval(zero, sub_expr2)), VecAdd(VecSum(index_or_indices = sub_expr1, summand = vk, domain = Interval(zero, subtract(sub_expr2, one))), Function(v, [sub_expr2])))

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(\sum_{k=0}^{2^{t}} v\left(k\right), \left(\sum_{k=0}^{2^{t} - 1} v\left(k\right)\right) + v\left(2^{t}\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: 10 operand: 6
2	Operation	operator: 4 operands: 5
3	ExprTuple	6
4	Literal
5	ExprTuple	7, 8
6	Lambda	parameter: 25 body: 9
7	Operation	operator: 10 operand: 14
8	Operation	operator: 21 operand: 33
9	Conditional	value: 18 condition: 13
10	Literal
11	ExprTuple	14
12	ExprTuple	33
13	Operation	operator: 23 operands: 15
14	Lambda	parameter: 25 body: 16
15	ExprTuple	25, 17
16	Conditional	value: 18 condition: 19
17	Operation	operator: 27 operands: 20
18	Operation	operator: 21 operand: 25
19	Operation	operator: 23 operands: 24
20	ExprTuple	29, 33
21	Variable
22	ExprTuple	25
23	Literal
24	ExprTuple	25, 26
25	Variable
26	Operation	operator: 27 operands: 28
27	Literal
28	ExprTuple	29, 30
29	Literal
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Operation	operator: 35 operands: 36
34	Operation	operator: 37 operand: 41
35	Literal
36	ExprTuple	39, 40
37	Literal
38	ExprTuple	41
39	Literal
40	Variable
41	Literal