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 Conditional, ExprTuple, Lambda, Qx, S, x
from proveit.logic import And, InSet
from proveit.logic.sets import basic_comprehension_y

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(And(InSet(x, S), Qx), InSet(x, basic_comprehension_y))))

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 \mapsto \left\{\left(x \in S\right) \land Q\left(x\right) \textrm{ if } x \in \left\{y~|~Q\left(y\right)\right\}_{y \in S}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 14 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 18 operands: 5
4	Operation	operator: 22 operands: 6
5	ExprTuple	7, 8
6	ExprTuple	14, 9
7	Operation	operator: 22 operands: 10
8	Operation	operator: 24 operand: 14
9	Operation	operator: 12 operand: 15
10	ExprTuple	14, 26
11	ExprTuple	14
12	Literal
13	ExprTuple	15
14	Variable
15	Lambda	parameter: 27 body: 16
16	Conditional	value: 27 condition: 17
17	Operation	operator: 18 operands: 19
18	Literal
19	ExprTuple	20, 21
20	Operation	operator: 22 operands: 23
21	Operation	operator: 24 operand: 27
22	Literal
23	ExprTuple	27, 26
24	Variable
25	ExprTuple	27
26	Variable
27	Variable