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 VecSum
from proveit.numbers import Exp, Interval, Neg, 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)), VecSum(index_or_indices = sub_expr1, summand = Function(v, [subtract(k, Neg(one))]), domain = Interval(subtract(zero, one), subtract(sub_expr2, one))))

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), \sum_{k=0 - 1}^{2^{t} - 1} v\left(k - \left(-1\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: 4 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	Lambda	parameter: 27 body: 8
7	Lambda	parameter: 27 body: 9
8	Conditional	value: 10 condition: 11
9	Conditional	value: 12 condition: 13
10	Operation	operator: 16 operand: 27
11	Operation	operator: 18 operands: 15
12	Operation	operator: 16 operand: 21
13	Operation	operator: 18 operands: 19
14	ExprTuple	27
15	ExprTuple	27, 20
16	Variable
17	ExprTuple	21
18	Literal
19	ExprTuple	27, 22
20	Operation	operator: 25 operands: 23
21	Operation	operator: 33 operands: 24
22	Operation	operator: 25 operands: 26
23	ExprTuple	35, 36
24	ExprTuple	27, 28
25	Literal
26	ExprTuple	29, 30
27	Variable
28	Operation	operator: 40 operand: 37
29	Operation	operator: 33 operands: 32
30	Operation	operator: 33 operands: 34
31	ExprTuple	37
32	ExprTuple	35, 37
33	Literal
34	ExprTuple	36, 37
35	Literal
36	Operation	operator: 38 operands: 39
37	Operation	operator: 40 operand: 44
38	Literal
39	ExprTuple	42, 43
40	Literal
41	ExprTuple	44
42	Literal
43	Variable
44	Literal