Expression of type ExprTuple

from the theory of proveit.logic.sets.equivalence

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 ExprTuple, Lambda, a, b, c, x
from proveit.logic import Equals, InSet, Set
from proveit.numbers import one, three, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Equals(InSet(x, Set(one, two, three)), InSet(x, Set(a, b, 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(x \mapsto \left(\left(x \in \left\{1, 2, 3\right\}\right) = \left(x \in \left\{a, b, c\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	parameter: 12 body: 3
2	ExprTuple	12
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 9 operands: 8
7	Operation	operator: 9 operands: 10
8	ExprTuple	12, 11
9	Literal
10	ExprTuple	12, 13
11	Operation	operator: 15 operands: 14
12	Variable
13	Operation	operator: 15 operands: 16
14	ExprTuple	17, 18, 19
15	Literal
16	ExprTuple	20, 21, 22
17	Literal
18	Literal
19	Literal
20	Variable
21	Variable
22	Variable