Expression of type Add

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

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = 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|a\right| + \left|b\right|+ \left|x_{1}\right| +  \left|x_{2}\right| +  \ldots +  \left|x_{n}\right| + \left|c\right|

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4, 5, 6
3	Operation	operator: 17 operand: 13
4	Operation	operator: 17 operand: 14
5	ExprRange	lambda_map: 9 start_index: 10 end_index: 11
6	Operation	operator: 17 operand: 16
7	ExprTuple	13
8	ExprTuple	14
9	Lambda	parameter: 22 body: 15
10	Literal
11	Variable
12	ExprTuple	16
13	Variable
14	Variable
15	Operation	operator: 17 operand: 19
16	Variable
17	Literal
18	ExprTuple	19
19	IndexedVar	variable: 20 index: 22
20	Variable
21	ExprTuple	22
22	Variable