Expression of type ExprTuple

from the theory of proveit.logic.sets.cartesian_products

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, x
from proveit.core_expr_types import A_1_to_m, a_1_to_m
from proveit.logic import And, CartProd, Equals, InSet
from proveit.logic.sets.cartesian_products import a_in_A__1_to_m

# build up the expression from sub-expressions
expr = ExprTuple(InSet(x, CartProd(A_1_to_m)), And(Equals(x, [a_1_to_m]), a_in_A__1_to_m))

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(x \in \left(A_{1} \times  A_{2} \times  \ldots \times  A_{m}\right), \left(x = \left(a_{1}, a_{2}, \ldots, a_{m}\right)\right)\land \left(a_{1} \in A_{1}\right) \land  \left(a_{2} \in A_{2}\right) \land  \ldots \land  \left(a_{m} \in A_{m}\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: 20 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	15, 6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 11 operands: 12
8	ExprRange	lambda_map: 13 start_index: 23 end_index: 24
9	Literal
10	ExprTuple	14
11	Literal
12	ExprTuple	15, 16
13	Lambda	parameter: 30 body: 17
14	ExprRange	lambda_map: 18 start_index: 23 end_index: 24
15	Variable
16	ExprTuple	19
17	Operation	operator: 20 operands: 21
18	Lambda	parameter: 30 body: 25
19	ExprRange	lambda_map: 22 start_index: 23 end_index: 24
20	Literal
21	ExprTuple	26, 25
22	Lambda	parameter: 30 body: 26
23	Literal
24	Variable
25	IndexedVar	variable: 27 index: 30
26	IndexedVar	variable: 28 index: 30
27	Variable
28	Variable
29	ExprTuple	30
30	Variable