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, c, i, 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, c)), VecAdd(VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(a, b)), VecSum(index_or_indices = sub_expr1, summand = vi, domain = Interval(Add(b, one), c))))

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