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 ExprTuple, Lambda, x
from proveit.core_expr_types import y_1_to_n
from proveit.logic import Equals, NotInSet, Set
from proveit.logic.sets import x_notequals_all_y

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y_1_to_n], Equals(NotInSet(x, Set(y_1_to_n)), x_notequals_all_y)))

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, y_{1}, y_{2}, \ldots, y_{n}\right) \mapsto \left(\left(x \notin \left\{y_{1}, y_{2}, \ldots, y_{n}\right\}\right) = \left(\left(x \neq y_{1}\right) \land  \left(x \neq y_{2}\right) \land  \ldots \land  \left(x \neq y_{n}\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	24, 17
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operands: 9
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	24, 12
10	Literal
11	ExprTuple	13
12	Operation	operator: 14 operands: 15
13	ExprRange	lambda_map: 16 start_index: 20 end_index: 21
14	Literal
15	ExprTuple	17
16	Lambda	parameter: 28 body: 18
17	ExprRange	lambda_map: 19 start_index: 20 end_index: 21
18	Operation	operator: 22 operands: 23
19	Lambda	parameter: 28 body: 25
20	Literal
21	Variable
22	Literal
23	ExprTuple	24, 25
24	Variable
25	IndexedVar	variable: 26 index: 28
26	Variable
27	ExprTuple	28
28	Variable