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 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, Add(b_1_to_j), c_1_to_k), 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(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)

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: 14 operands: 3
2	Operation	operator: 7 operands: 4
3	ExprTuple	17, 5, 19
4	ExprTuple	6
5	Operation	operator: 7 operands: 8
6	ExprRange	lambda_map: 9 start_index: 25 end_index: 13
7	Literal
8	ExprTuple	10
9	Lambda	parameter: 28 body: 11
10	ExprRange	lambda_map: 12 start_index: 25 end_index: 13
11	Operation	operator: 14 operands: 15
12	Lambda	parameter: 33 body: 16
13	Variable
14	Literal
15	ExprTuple	17, 18, 19
16	IndexedVar	variable: 22 index: 33
17	ExprRange	lambda_map: 20 start_index: 25 end_index: 21
18	IndexedVar	variable: 22 index: 28
19	ExprRange	lambda_map: 24 start_index: 25 end_index: 26
20	Lambda	parameter: 33 body: 27
21	Variable
22	Variable
23	ExprTuple	28
24	Lambda	parameter: 33 body: 29
25	Literal
26	Variable
27	IndexedVar	variable: 30 index: 33
28	Variable
29	IndexedVar	variable: 31 index: 33
30	Variable
31	Variable
32	ExprTuple	33
33	Variable