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 ExprTuple
from proveit.core_expr_types import R__x_1_to_n, S_1_to_n, f__x_1_to_n, x_1_to_n
from proveit.logic import SetOfAll
from proveit.logic.sets import general_comprehension_fyn

# build up the expression from sub-expressions
expr = ExprTuple(SetOfAll(instance_param_or_params = [x_1_to_n], instance_element = f__x_1_to_n, domains = [S_1_to_n], condition = R__x_1_to_n), general_comprehension_fyn)

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\{f\left(x_{1}, x_{2}, \ldots, x_{n}\right)~|~R\left(x_{1}, x_{2}, \ldots, x_{n}\right)\right\}_{\left(x_{1} \in S_{1}\right), \left(x_{2} \in S_{2}\right), \ldots, \left(x_{n} \in S_{n}\right)}, \left\{f\left(y_{1}, y_{2}, \ldots, y_{n}\right)~|~Q\left(y_{1}, y_{2}, \ldots, y_{n}\right)\right\}_{\left(y_{1} \in S_{1}\right), \left(y_{2} \in S_{2}\right), \ldots, \left(y_{n} \in S_{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	Operation	operator: 4 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	Lambda	parameters: 24 body: 8
7	Lambda	parameters: 27 body: 9
8	Conditional	value: 10 condition: 11
9	Conditional	value: 12 condition: 13
10	Operation	operator: 15 operands: 24
11	Operation	operator: 16 operands: 14
12	Operation	operator: 15 operands: 27
13	Operation	operator: 16 operands: 17
14	ExprTuple	18, 19
15	Variable
16	Literal
17	ExprTuple	20, 21
18	ExprRange	lambda_map: 22 start_index: 37 end_index: 38
19	Operation	operator: 23 operands: 24
20	ExprRange	lambda_map: 25 start_index: 37 end_index: 38
21	Operation	operator: 26 operands: 27
22	Lambda	parameter: 46 body: 28
23	Variable
24	ExprTuple	29
25	Lambda	parameter: 46 body: 30
26	Variable
27	ExprTuple	31
28	Operation	operator: 34 operands: 32
29	ExprRange	lambda_map: 33 start_index: 37 end_index: 38
30	Operation	operator: 34 operands: 35
31	ExprRange	lambda_map: 36 start_index: 37 end_index: 38
32	ExprTuple	39, 40
33	Lambda	parameter: 46 body: 39
34	Literal
35	ExprTuple	41, 40
36	Lambda	parameter: 46 body: 41
37	Literal
38	Variable
39	IndexedVar	variable: 42 index: 46
40	IndexedVar	variable: 43 index: 46
41	IndexedVar	variable: 44 index: 46
42	Variable
43	Variable
44	Variable
45	ExprTuple	46
46	Variable