Expression of type ExprTuple

from the theory of proveit.logic.sets.unification

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, a, b, c, d
from proveit.logic import And, NotInSet, Set, Union
from proveit.numbers import Add, one, three, two

# build up the expression from sub-expressions
sub_expr1 = Set(a, b, c)
sub_expr2 = Set(two, Add(one, three), Add(two, three))
expr = ExprTuple(NotInSet(d, Union(sub_expr1, sub_expr2)), And(NotInSet(d, sub_expr1), NotInSet(d, sub_expr2)))

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(d \notin \left(\left\{a, b, c\right\} \cup \left\{2, 1 + 3, 2 + 3\right\}\right), \left(d \notin \left\{a, b, c\right\}\right) \land \left(d \notin \left\{2, 1 + 3, 2 + 3\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: 12 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	15, 6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 12 operands: 11
8	Operation	operator: 12 operands: 13
9	Literal
10	ExprTuple	14, 16
11	ExprTuple	15, 14
12	Literal
13	ExprTuple	15, 16
14	Operation	operator: 18 operands: 17
15	Variable
16	Operation	operator: 18 operands: 19
17	ExprTuple	20, 21, 22
18	Literal
19	ExprTuple	29, 23, 24
20	Variable
21	Variable
22	Variable
23	Operation	operator: 26 operands: 25
24	Operation	operator: 26 operands: 27
25	ExprTuple	28, 30
26	Literal
27	ExprTuple	29, 30
28	Literal
29	Literal
30	Literal