Expression of type ExprTuple

from the theory of proveit.logic.sets.enumeration

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 Conditional, ExprTuple, Lambda, b
from proveit.core_expr_types import a_1_to_m, c_1_to_n
from proveit.logic import NotInSet, ProperSubset, Set

# build up the expression from sub-expressions
sub_expr1 = Set(a_1_to_m)
expr = ExprTuple(Lambda([a_1_to_m, b, c_1_to_n], Conditional(ProperSubset(sub_expr1, Set(a_1_to_m, b, c_1_to_n)), NotInSet(b, sub_expr1))))

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(a_{1}, a_{2}, \ldots, a_{m}, b, c_{1}, c_{2}, \ldots, c_{n}\right) \mapsto \left\{\left\{a_{1}, a_{2}, \ldots, a_{m}\right\} \subset \left\{a_{1}, a_{2}, \ldots, a_{m}, b,c_{1}, c_{2}, \ldots, c_{n}\right\} \textrm{ if } b \notin \left\{a_{1}, a_{2}, \ldots, a_{m}\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: 11 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	10, 9
7	Literal
8	ExprTuple	14, 10
9	Operation	operator: 12 operands: 11
10	Operation	operator: 12 operands: 13
11	ExprTuple	16, 14, 15
12	Literal
13	ExprTuple	16
14	Variable
15	ExprRange	lambda_map: 17 start_index: 20 end_index: 18
16	ExprRange	lambda_map: 19 start_index: 20 end_index: 21
17	Lambda	parameter: 27 body: 22
18	Variable
19	Lambda	parameter: 27 body: 23
20	Literal
21	Variable
22	IndexedVar	variable: 24 index: 27
23	IndexedVar	variable: 25 index: 27
24	Variable
25	Variable
26	ExprTuple	27
27	Variable