Expression of type ExprTuple

from the theory of proveit.numbers.absolute_value

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 ExprRange, ExprTuple, IndexedVar, Variable, a, b, c, n, x
from proveit.core_expr_types import x_1_to_n
from proveit.numbers import Abs, Add, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Abs(Add(a, b, x_1_to_n, c)), Add(Abs(a), Abs(b), ExprRange(sub_expr1, Abs(IndexedVar(x, sub_expr1)), one, n), Abs(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(\left|a + b+ x_{1} +  x_{2} +  \ldots +  x_{n} + c\right|, \left|a\right| + \left|b\right|+ \left|x_{1}\right| +  \left|x_{2}\right| +  \ldots +  \left|x_{n}\right| + \left|c\right|\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	Operation	operator: 24 operand: 5
2	Operation	operator: 10 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7, 8, 9
5	Operation	operator: 10 operands: 11
6	Operation	operator: 24 operand: 17
7	Operation	operator: 24 operand: 18
8	ExprRange	lambda_map: 14 start_index: 22 end_index: 23
9	Operation	operator: 24 operand: 20
10	Literal
11	ExprTuple	17, 18, 16, 20
12	ExprTuple	17
13	ExprTuple	18
14	Lambda	parameter: 29 body: 19
15	ExprTuple	20
16	ExprRange	lambda_map: 21 start_index: 22 end_index: 23
17	Variable
18	Variable
19	Operation	operator: 24 operand: 26
20	Variable
21	Lambda	parameter: 29 body: 26
22	Literal
23	Variable
24	Literal
25	ExprTuple	26
26	IndexedVar	variable: 27 index: 29
27	Variable
28	ExprTuple	29
29	Variable