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
from proveit.logic import Not
from proveit.logic.booleans.quantification import general_exists_Py_st_Qy, general_notexists_Px_st_Qx

# build up the expression from sub-expressions
expr = ExprTuple(general_notexists_Px_st_Qx, Not(general_exists_Py_st_Qy))

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(\nexists_{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), \lnot \left[\exists_{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]\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: 3 operand: 12
2	Operation	operator: 4 operand: 6
3	Literal
4	Literal
5	ExprTuple	6
6	Operation	operator: 8 operand: 12
7	Conditional	value: 10 condition: 11
8	Literal
9	ExprTuple	12
10	Operation	operator: 19 operands: 13
11	Operation	operator: 20 operands: 13
12	Lambda	parameters: 21 body: 14
13	ExprTuple	15
14	Conditional	value: 16 condition: 17
15	ExprRange	lambda_map: 18 start_index: 26 end_index: 27
16	Operation	operator: 19 operands: 21
17	Operation	operator: 20 operands: 21
18	Lambda	parameter: 31 body: 22
19	Variable
20	Variable
21	ExprTuple	23
22	IndexedVar	variable: 24 index: 31
23	ExprRange	lambda_map: 25 start_index: 26 end_index: 27
24	Variable
25	Lambda	parameter: 31 body: 28
26	Literal
27	Variable
28	IndexedVar	variable: 29 index: 31
29	Variable
30	ExprTuple	31
31	Variable