Expression of type ExprTuple

from the theory of proveit.logic.sets.equivalence

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
from proveit.logic import Not, Set, SetEquiv, SetNotEquiv
from proveit.numbers import one, three, two

# build up the expression from sub-expressions
sub_expr1 = Set(one, two, three)
sub_expr2 = Set(a, b, c)
expr = ExprTuple(SetNotEquiv(sub_expr1, sub_expr2), Not(SetEquiv(sub_expr1, 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(\left\{1, 2, 3\right\} \ncong \left\{a, b, c\right\}, \lnot \left(\left\{1, 2, 3\right\} \cong \left\{a, b, c\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 operands: 8
2	Operation	operator: 4 operand: 6
3	Literal
4	Literal
5	ExprTuple	6
6	Operation	operator: 7 operands: 8
7	Literal
8	ExprTuple	9, 10
9	Operation	operator: 12 operands: 11
10	Operation	operator: 12 operands: 13
11	ExprTuple	14, 15, 16
12	Literal
13	ExprTuple	17, 18, 19
14	Literal
15	Literal
16	Literal
17	Variable
18	Variable
19	Variable