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 ExprTuple, a, b, c, k
from proveit.core_expr_types import alpha_k
from proveit.numbers import Add, Interval, Sum, one

# build up the expression from sub-expressions
sub_expr1 = [k]
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = alpha_k, domain = Interval(a, c)), Add(Sum(index_or_indices = sub_expr1, summand = alpha_k, domain = Interval(a, b)), Sum(index_or_indices = sub_expr1, summand = alpha_k, 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_{k = a}^{c} \alpha_{k}, \left(\sum_{k = a}^{b} \alpha_{k}\right) + \left(\sum_{k = b + 1}^{c} \alpha_{k}\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: 5
2	Operation	operator: 37 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7
5	Lambda	parameter: 29 body: 8
6	Operation	operator: 10 operand: 13
7	Operation	operator: 10 operand: 14
8	Conditional	value: 20 condition: 12
9	ExprTuple	13
10	Literal
11	ExprTuple	14
12	Operation	operator: 26 operands: 15
13	Lambda	parameter: 29 body: 16
14	Lambda	parameter: 29 body: 17
15	ExprTuple	29, 18
16	Conditional	value: 20 condition: 19
17	Conditional	value: 20 condition: 21
18	Operation	operator: 32 operands: 22
19	Operation	operator: 26 operands: 23
20	IndexedVar	variable: 24 index: 29
21	Operation	operator: 26 operands: 27
22	ExprTuple	34, 36
23	ExprTuple	29, 28
24	Variable
25	ExprTuple	29
26	Literal
27	ExprTuple	29, 30
28	Operation	operator: 32 operands: 31
29	Variable
30	Operation	operator: 32 operands: 33
31	ExprTuple	34, 39
32	Literal
33	ExprTuple	35, 36
34	Variable
35	Operation	operator: 37 operands: 38
36	Variable
37	Literal
38	ExprTuple	39, 40
39	Variable
40	Literal