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, 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}^{b} \alpha_{k}, \sum_{k = b + 1}^{c} \alpha_{k}\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: 19 body: 8
7	Lambda	parameter: 19 body: 9
8	Conditional	value: 11 condition: 10
9	Conditional	value: 11 condition: 12
10	Operation	operator: 16 operands: 13
11	IndexedVar	variable: 14 index: 19
12	Operation	operator: 16 operands: 17
13	ExprTuple	19, 18
14	Variable
15	ExprTuple	19
16	Literal
17	ExprTuple	19, 20
18	Operation	operator: 22 operands: 21
19	Variable
20	Operation	operator: 22 operands: 23
21	ExprTuple	24, 29
22	Literal
23	ExprTuple	25, 26
24	Variable
25	Operation	operator: 27 operands: 28
26	Variable
27	Literal
28	ExprTuple	29, 30
29	Variable
30	Literal