Expression of type ExprTuple

from the theory of proveit.logic.booleans.quantification.existence

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, P, Q
from proveit.logic import Implies, Not
from proveit.logic.booleans.quantification import general_exists_Px_st_Qx, general_notexists_Py_st_Qy

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([P, Q], Implies(Not(general_exists_Px_st_Qx), general_notexists_Py_st_Qy).with_wrapping_at(2)))

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(P, Q\right) \mapsto \left(\begin{array}{c} \begin{array}{l} (\lnot \left[\exists_{x_{1}, x_{2}, \ldots, x_{n}~|~Q\left(x_{1}, x_{2}, \ldots, x_{n}\right)}~P\left(x_{1}, x_{2}, \ldots, x_{n}\right)\right]) \Rightarrow  \\ \left[\nexists_{y_{1}, y_{2}, \ldots, y_{n}~|~Q\left(y_{1}, y_{2}, \ldots, y_{n}\right)}~P\left(y_{1}, y_{2}, \ldots, y_{n}\right)\right] \end{array} \end{array}\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	23, 24
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operand: 11
7	Operation	operator: 10 operand: 15
8	Literal
9	ExprTuple	11
10	Literal
11	Operation	operator: 12 operand: 15
12	Literal
13	ExprTuple	15
14	Conditional	value: 16 condition: 17
15	Lambda	parameters: 25 body: 18
16	Operation	operator: 23 operands: 19
17	Operation	operator: 24 operands: 19
18	Conditional	value: 20 condition: 21
19	ExprTuple	22
20	Operation	operator: 23 operands: 25
21	Operation	operator: 24 operands: 25
22	ExprRange	lambda_map: 26 start_index: 30 end_index: 31
23	Variable
24	Variable
25	ExprTuple	27
26	Lambda	parameter: 36 body: 28
27	ExprRange	lambda_map: 29 start_index: 30 end_index: 31
28	IndexedVar	variable: 32 index: 36
29	Lambda	parameter: 36 body: 33
30	Literal
31	Variable
32	Variable
33	IndexedVar	variable: 34 index: 36
34	Variable
35	ExprTuple	36
36	Variable