Expression of type ExprTuple

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, ExprTuple, Lambda, S, x
from proveit.logic import Boolean, InSet, NotInSet

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, S], 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, S\right) \mapsto \left\{\left(x \notin S\right) \in \mathbb{B} \textrm{ if } \left(x \in S\right) \in \mathbb{B}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 12 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 11 operands: 5
4	Operation	operator: 11 operands: 6
5	ExprTuple	7, 9
6	ExprTuple	8, 9
7	Operation	operator: 10 operands: 12
8	Operation	operator: 11 operands: 12
9	Literal
10	Literal
11	Literal
12	ExprTuple	13, 14
13	Variable
14	Variable