Expression of type Conditional

from the theory of proveit.logic.sets.membership

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 Conditional, S, x
from proveit.logic import Boolean, InSet, NotInSet

# build up the expression from sub-expressions
expr = Conditional(InSet(NotInSet(x, S), Boolean), InSet(InSet(x, S), Boolean))

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(x \notin S\right) \in \mathbb{B} \textrm{ if } \left(x \in S\right) \in \mathbb{B}\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 9 operands: 3
2	Operation	operator: 9 operands: 4
3	ExprTuple	5, 7
4	ExprTuple	6, 7
5	Operation	operator: 8 operands: 10
6	Operation	operator: 9 operands: 10
7	Literal
8	Literal
9	Literal
10	ExprTuple	11, 12
11	Variable
12	Variable