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, Lambda, Q, Qx, S, x
from proveit.logic import And, Equals, InSet
from proveit.logic.sets import basic_comprehension_y

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

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(S, Q, x\right) \mapsto \left(\left(x \in \left\{y~|~Q\left(y\right)\right\}_{y \in S}\right) = \left(\left(x \in S\right) \land Q\left(x\right)\right)\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	parameters: 2 body: 3
2	ExprTuple	29, 27, 18
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 25 operands: 8
7	Operation	operator: 21 operands: 9
8	ExprTuple	18, 10
9	ExprTuple	11, 12
10	Operation	operator: 13 operand: 17
11	Operation	operator: 25 operands: 15
12	Operation	operator: 27 operand: 18
13	Literal
14	ExprTuple	17
15	ExprTuple	18, 29
16	ExprTuple	18
17	Lambda	parameter: 30 body: 19
18	Variable
19	Conditional	value: 30 condition: 20
20	Operation	operator: 21 operands: 22
21	Literal
22	ExprTuple	23, 24
23	Operation	operator: 25 operands: 26
24	Operation	operator: 27 operand: 30
25	Literal
26	ExprTuple	30, 29
27	Variable
28	ExprTuple	30
29	Variable
30	Variable