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
from proveit.logic import Equals
from proveit.logic.sets.cartesian_products import a_in_A__1_to_m

# build up the expression from sub-expressions
expr = ExprTuple(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 = \left(a_{1}, a_{2}, \ldots, a_{m}\right),\left(a_{1} \in A_{1}\right), \left(a_{2} \in A_{2}\right), \ldots, \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: 3 operands: 4
2	ExprRange	lambda_map: 5 start_index: 13 end_index: 14
3	Literal
4	ExprTuple	6, 7
5	Lambda	parameter: 20 body: 8
6	Variable
7	ExprTuple	9
8	Operation	operator: 10 operands: 11
9	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
10	Literal
11	ExprTuple	16, 15
12	Lambda	parameter: 20 body: 16
13	Literal
14	Variable
15	IndexedVar	variable: 17 index: 20
16	IndexedVar	variable: 18 index: 20
17	Variable
18	Variable
19	ExprTuple	20
20	Variable