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, ExprTuple, Lambda, x
from proveit.logic import And, Difference, Equals, InSet, NotInSet

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, A, B], Equals(InSet(x, Difference(A, B)), And(InSet(x, A), NotInSet(x, 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 \in \left(A - B\right)\right) = \left(\left(x \in A\right) \land \left(x \notin B\right)\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	21, 20, 22
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 16 operands: 8
7	Operation	operator: 9 operands: 10
8	ExprTuple	21, 11
9	Literal
10	ExprTuple	12, 13
11	Operation	operator: 14 operands: 15
12	Operation	operator: 16 operands: 17
13	Operation	operator: 18 operands: 19
14	Literal
15	ExprTuple	20, 22
16	Literal
17	ExprTuple	21, 20
18	Literal
19	ExprTuple	21, 22
20	Variable
21	Variable
22	Variable