Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.real_numbers

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, n, x
from proveit.logic import Forall, InSet, NotEquals, NotInSet
from proveit.numbers import Add, Integer, IntervalOO, one, subtract

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(n, Conditional(Forall(instance_param_or_params = [x], instance_expr = NotInSet(x, Integer), domain = IntervalOO(subtract(n, one), Add(n, one)), condition = NotEquals(x, n)), InSet(n, Integer))))

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(n \mapsto \left\{\forall_{x \in \left(n - 1,n + 1\right)~|~x \neq n}~\left(x \notin \mathbb{Z}\right) \textrm{ if } n \in \mathbb{Z}\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: 35 body: 3
2	ExprTuple	35
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operand: 9
5	Operation	operator: 21 operands: 8
6	Literal
7	ExprTuple	9
8	ExprTuple	35, 18
9	Lambda	parameter: 26 body: 11
10	ExprTuple	26
11	Conditional	value: 12 condition: 13
12	Operation	operator: 14 operands: 15
13	Operation	operator: 16 operands: 17
14	Literal
15	ExprTuple	26, 18
16	Literal
17	ExprTuple	19, 20
18	Literal
19	Operation	operator: 21 operands: 22
20	Operation	operator: 23 operands: 24
21	Literal
22	ExprTuple	26, 25
23	Literal
24	ExprTuple	26, 35
25	Operation	operator: 27 operands: 28
26	Variable
27	Literal
28	ExprTuple	29, 30
29	Operation	operator: 32 operands: 31
30	Operation	operator: 32 operands: 33
31	ExprTuple	35, 34
32	Literal
33	ExprTuple	35, 38
34	Operation	operator: 36 operand: 38
35	Variable
36	Literal
37	ExprTuple	38
38	Literal