Expression of type ExprTuple

from the theory of proveit.logic.sets.comprehension

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 ExprRange, ExprTuple, IndexedVar, S, Variable, n, x
from proveit.core_expr_types import R__x_1_to_n
from proveit.logic import InSet
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(x, sub_expr1), IndexedVar(S, sub_expr1)), one, n), R__x_1_to_n)

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(x_{1} \in S_{1}\right), \left(x_{2} \in S_{2}\right), \ldots, \left(x_{n} \in S_{n}\right), R\left(x_{1}, x_{2}, \ldots, x_{n}\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	ExprRange	lambda_map: 3 start_index: 11 end_index: 12
2	Operation	operator: 4 operands: 5
3	Lambda	parameter: 18 body: 6
4	Variable
5	ExprTuple	7
6	Operation	operator: 8 operands: 9
7	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
8	Literal
9	ExprTuple	14, 13
10	Lambda	parameter: 18 body: 14
11	Literal
12	Variable
13	IndexedVar	variable: 15 index: 18
14	IndexedVar	variable: 16 index: 18
15	Variable
16	Variable
17	ExprTuple	18
18	Variable