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, ExprTuple, Lambda, x
from proveit.logic import Equals, InClass, Not, NotInClass

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, C], Equals(NotInClass(x, C), Not(InClass(x, C)))))

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) = (\lnot \left(x \underset{{\scriptscriptstyle c}}{\in} C\right))\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	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 12
6	Operation	operator: 8 operand: 10
7	Literal
8	Literal
9	ExprTuple	10
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Variable
14	Variable