Expression of type ExprTuple

from the theory of proveit.numbers.modular

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, L, b
from proveit.core_expr_types import a_1_to_i, c_1_to_j
from proveit.numbers import Add, Mod, ModAbs

# build up the expression from sub-expressions
expr = ExprTuple(ModAbs(Add(a_1_to_i, Mod(b, L), c_1_to_j), L), ModAbs(Add(a_1_to_i, b, c_1_to_j), L))

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_{1} +  a_{2} +  \ldots +  a_{i} + \left(b ~\textup{mod}~ L\right)+ c_{1} +  c_{2} +  \ldots +  c_{j}\right|_{\textup{mod}\thinspace L}, \left|a_{1} +  a_{2} +  \ldots +  a_{i} + b+ c_{1} +  c_{2} +  \ldots +  c_{j}\right|_{\textup{mod}\thinspace L}\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 22
4	Literal
5	ExprTuple	7, 22
6	Operation	operator: 9 operands: 8
7	Operation	operator: 9 operands: 10
8	ExprTuple	12, 11, 13
9	Literal
10	ExprTuple	12, 21, 13
11	Operation	operator: 14 operands: 15
12	ExprRange	lambda_map: 16 start_index: 19 end_index: 17
13	ExprRange	lambda_map: 18 start_index: 19 end_index: 20
14	Literal
15	ExprTuple	21, 22
16	Lambda	parameter: 28 body: 23
17	Variable
18	Lambda	parameter: 28 body: 24
19	Literal
20	Variable
21	Variable
22	Variable
23	IndexedVar	variable: 25 index: 28
24	IndexedVar	variable: 26 index: 28
25	Variable
26	Variable
27	ExprTuple	28
28	Variable