Expression of type ExprTuple

from the theory of proveit.logic.sets.subtraction

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 A, B, Conditional, ExprTuple, Lambda, x
from proveit.logic import Difference, InSet, NotInSet, Or

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, A, B], Conditional(Or(NotInSet(x, A), InSet(x, B)), NotInSet(x, Difference(A, B)))))

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, A, B\right) \mapsto \left\{\left(x \notin A\right) \lor \left(x \in B\right) \textrm{ if } x \notin \left(A - B\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: 2 body: 3
2	ExprTuple	18, 19, 20
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 12 operands: 8
6	Literal
7	ExprTuple	9, 10
8	ExprTuple	18, 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	Literal
13	ExprTuple	18, 19
14	Literal
15	ExprTuple	18, 20
16	Literal
17	ExprTuple	19, 20
18	Variable
19	Variable
20	Variable