Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.integers

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, n
from proveit.logic import SetOfAll, Union
from proveit.numbers import Integer, Natural, NaturalPos, Neg

# build up the expression from sub-expressions
expr = ExprTuple(Integer, Union(Natural, SetOfAll(instance_param_or_params = [n], instance_element = Neg(n), domain = NaturalPos)))

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(\mathbb{Z}, \mathbb{N} \cup \left\{-n\right\}_{n \in \mathbb{N}^+}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Literal
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Literal
6	Operation	operator: 7 operand: 9
7	Literal
8	ExprTuple	9
9	Lambda	parameter: 17 body: 10
10	Conditional	value: 11 condition: 12
11	Operation	operator: 13 operand: 17
12	Operation	operator: 15 operands: 16
13	Literal
14	ExprTuple	17
15	Literal
16	ExprTuple	17, 18
17	Variable
18	Literal