Expression of type ExprTuple

from the theory of proveit.logic.sets.subtraction

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, c
from proveit.logic import Difference, InSet, NotInSet, Or, Set
from proveit.numbers import Add, four, one, three, two

# build up the expression from sub-expressions
sub_expr1 = Add(one, one)
sub_expr2 = Set(one, sub_expr1, three, Add(two, two))
sub_expr3 = Set(sub_expr1, Add(two, one), four)
expr = ExprTuple(NotInSet(c, Difference(sub_expr2, sub_expr3)), Or(NotInSet(c, sub_expr2), InSet(c, sub_expr3)))

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(c \notin \left(\left\{1, 1 + 1, 3, 2 + 2\right\} - \left\{1 + 1, 2 + 1, 4\right\}\right), \left(c \notin \left\{1, 1 + 1, 3, 2 + 2\right\}\right) \lor \left(c \in \left\{1 + 1, 2 + 1, 4\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: 11 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	16, 6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 11 operands: 12
8	Operation	operator: 13 operands: 14
9	Literal
10	ExprTuple	15, 17
11	Literal
12	ExprTuple	16, 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 19 operands: 18
16	Variable
17	Operation	operator: 19 operands: 20
18	ExprTuple	31, 23, 21, 22
19	Literal
20	ExprTuple	23, 24, 25
21	Literal
22	Operation	operator: 28 operands: 26
23	Operation	operator: 28 operands: 27
24	Operation	operator: 28 operands: 29
25	Literal
26	ExprTuple	30, 30
27	ExprTuple	31, 31
28	Literal
29	ExprTuple	30, 31
30	Literal
31	Literal