Expression of type ExprTuple

from the theory of proveit.logic.sets.enumeration

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, Lambda, x
from proveit.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k
from proveit.logic import Equals, Set

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a_1_to_i, x, b_1_to_j, c_1_to_k], Equals(Set(a_1_to_i, x, b_1_to_j, x, c_1_to_k), Set(a_1_to_i, b_1_to_j, x, c_1_to_k)).with_wrapping_at(2)))

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(a_{1}, a_{2}, \ldots, a_{i}, x, b_{1}, b_{2}, \ldots, b_{j}, c_{1}, c_{2}, \ldots, c_{k}\right) \mapsto \left(\begin{array}{c} \begin{array}{l} \left\{a_{1}, a_{2}, \ldots, a_{i}, x,b_{1}, b_{2}, \ldots, b_{j}, x,c_{1}, c_{2}, \ldots, c_{k}\right\} =  \\ \left\{a_{1}, a_{2}, \ldots, a_{i},b_{1}, b_{2}, \ldots, b_{j}, x,c_{1}, c_{2}, \ldots, c_{k}\right\} \end{array} \end{array}\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: 2 body: 3
2	ExprTuple	11, 13, 12, 14
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 9 operands: 8
7	Operation	operator: 9 operands: 10
8	ExprTuple	11, 13, 12, 13, 14
9	Literal
10	ExprTuple	11, 12, 13, 14
11	ExprRange	lambda_map: 15 start_index: 20 end_index: 16
12	ExprRange	lambda_map: 17 start_index: 20 end_index: 18
13	Variable
14	ExprRange	lambda_map: 19 start_index: 20 end_index: 21
15	Lambda	parameter: 29 body: 22
16	Variable
17	Lambda	parameter: 29 body: 23
18	Variable
19	Lambda	parameter: 29 body: 24
20	Literal
21	Variable
22	IndexedVar	variable: 25 index: 29
23	IndexedVar	variable: 26 index: 29
24	IndexedVar	variable: 27 index: 29
25	Variable
26	Variable
27	Variable
28	ExprTuple	29
29	Variable