Expression of type ExprTuple

from the theory of proveit.logic.classes.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 C, Conditional, ExprTuple, Lambda, x
from proveit.logic import Boolean, InClass, InSet, NotInClass

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, C], Conditional(InSet(NotInClass(x, C), Boolean), InSet(InClass(x, C), 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, C\right) \mapsto \left\{\left(x \notin_{C} C\right) \in \mathbb{B} \textrm{ if } \left(x \underset{{\scriptscriptstyle c}}{\in} C\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: 13 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 10
6	Literal
7	ExprTuple	9, 10
8	Operation	operator: 11 operands: 13
9	Operation	operator: 12 operands: 13
10	Literal
11	Literal
12	Literal
13	ExprTuple	14, 15
14	Variable
15	Variable