Expression of type ExprTuple

from the theory of proveit.numbers.multiplication

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, b, j
from proveit.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k
from proveit.numbers import Abs, Add, Mult, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
expr = ExprTuple(Mult(a_1_to_i, Abs(Add(b_1_to_j)), c_1_to_k), Abs(Add(ExprRange(sub_expr1, Mult(a_1_to_i, IndexedVar(b, sub_expr1), c_1_to_k), one, j))))

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_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot \left|b_{1} +  b_{2} +  \ldots +  b_{j}\right|\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{k}, \left|\left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot b_{1}\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{k}\right) +  \left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot b_{2}\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{k}\right) +  \ldots +  \left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot b_{j}\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{k}\right)\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: 19 operands: 3
2	Operation	operator: 7 operand: 6
3	ExprTuple	22, 5, 24
4	ExprTuple	6
5	Operation	operator: 7 operand: 10
6	Operation	operator: 12 operands: 9
7	Literal
8	ExprTuple	10
9	ExprTuple	11
10	Operation	operator: 12 operands: 13
11	ExprRange	lambda_map: 14 start_index: 30 end_index: 18
12	Literal
13	ExprTuple	15
14	Lambda	parameter: 33 body: 16
15	ExprRange	lambda_map: 17 start_index: 30 end_index: 18
16	Operation	operator: 19 operands: 20
17	Lambda	parameter: 38 body: 21
18	Variable
19	Literal
20	ExprTuple	22, 23, 24
21	IndexedVar	variable: 27 index: 38
22	ExprRange	lambda_map: 25 start_index: 30 end_index: 26
23	IndexedVar	variable: 27 index: 33
24	ExprRange	lambda_map: 29 start_index: 30 end_index: 31
25	Lambda	parameter: 38 body: 32
26	Variable
27	Variable
28	ExprTuple	33
29	Lambda	parameter: 38 body: 34
30	Literal
31	Variable
32	IndexedVar	variable: 35 index: 38
33	Variable
34	IndexedVar	variable: 36 index: 38
35	Variable
36	Variable
37	ExprTuple	38
38	Variable