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, a, b, i, va, vi
from proveit.linear_algebra import VecAdd, VecSum
from proveit.numbers import Add, Interval, one

# build up the expression from sub-expressions
sub_expr1 = [i]
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(a, b)), VecAdd(va, VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(Add(a, one), b))))

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_{i=a}^{b} v\left(i\right), v\left(a\right) + \left(\sum_{i=a + 1}^{b} v\left(i\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: 11 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: 21 operand: 33
8	Operation	operator: 11 operand: 14
9	Conditional	value: 18 condition: 13
10	ExprTuple	33
11	Literal
12	ExprTuple	14
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	33, 30
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	Operation	operator: 31 operands: 32
30	Variable
31	Literal
32	ExprTuple	33, 34
33	Variable
34	Literal