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 Conditional, ExprTuple, Lambda, fi, i, j, k, x
from proveit.logic import And, Equals, InSet
from proveit.numbers import Integer, Interval, Mult, Sum

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Interval(j, k)
expr = ExprTuple(Lambda([j, k], Conditional(Equals(Sum(index_or_indices = sub_expr1, summand = Mult(x, fi), domain = sub_expr2), Mult(x, Sum(index_or_indices = sub_expr1, summand = fi, domain = sub_expr2))), And(InSet(j, Integer), InSet(k, Integer)))))

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(\left(j, k\right) \mapsto \left\{\left(\sum_{i = j}^{k} \left(x \cdot f\left(i\right)\right)\right) = \left(x \cdot \left(\sum_{i = j}^{k} f\left(i\right)\right)\right) \textrm{ if } j \in \mathbb{Z} ,  k \in \mathbb{Z}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 38 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12
9	Operation	operator: 21 operand: 17
10	Operation	operator: 25 operands: 14
11	Operation	operator: 33 operands: 15
12	Operation	operator: 33 operands: 16
13	ExprTuple	17
14	ExprTuple	28, 18
15	ExprTuple	39, 19
16	ExprTuple	40, 19
17	Lambda	parameter: 35 body: 20
18	Operation	operator: 21 operand: 24
19	Literal
20	Conditional	value: 23 condition: 30
21	Literal
22	ExprTuple	24
23	Operation	operator: 25 operands: 26
24	Lambda	parameter: 35 body: 27
25	Literal
26	ExprTuple	28, 29
27	Conditional	value: 29 condition: 30
28	Variable
29	Operation	operator: 31 operand: 35
30	Operation	operator: 33 operands: 34
31	Variable
32	ExprTuple	35
33	Literal
34	ExprTuple	35, 36
35	Variable
36	Operation	operator: 37 operands: 38
37	Literal
38	ExprTuple	39, 40
39	Variable
40	Variable