Common basic_comprehension_y of type SetOfAll

from the theory of proveit.logic.sets

import proveit
# Automation is not needed when only 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 the special expression
from proveit.logic.sets import basic_comprehension_y

# check that the built expression is the same as the stored expression
assert basic_comprehension_y == stored_expr
assert basic_comprehension_y._style_id == stored_expr._style_id
print("Passed sanity check: basic_comprehension_y matches stored_expr")

Passed sanity check: basic_comprehension_y matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left\{y~|~Q\left(y\right)\right\}_{y \in S}

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Lambda	parameter: 15 body: 4
4	Conditional	value: 15 condition: 5
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 9
8	Operation	operator: 10 operands: 11
9	Operation	operator: 12 operand: 15
10	Literal
11	ExprTuple	15, 14
12	Variable
13	ExprTuple	15
14	Variable
15	Variable