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 NotInSet, Set
from proveit.numbers import Add, one, three, two

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

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\{a, b, c\right\}, d \notin \left\{2, 1 + 3, 2 + 3\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	7, 6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 10 operands: 9
7	Variable
8	Operation	operator: 10 operands: 11
9	ExprTuple	12, 13, 14
10	Literal
11	ExprTuple	21, 15, 16
12	Variable
13	Variable
14	Variable
15	Operation	operator: 18 operands: 17
16	Operation	operator: 18 operands: 19
17	ExprTuple	20, 22
18	Literal
19	ExprTuple	21, 22
20	Literal
21	Literal
22	Literal