Expression of type ExprTuple

from the theory of proveit.linear_algebra.tensors

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, b, e
from proveit.core_expr_types import a_1_to_i, c_1_to_k, d_1_to_i, f_1_to_k
from proveit.linear_algebra import TensorProd

# build up the expression from sub-expressions
expr = ExprTuple(TensorProd(a_1_to_i, b, c_1_to_k), TensorProd(d_1_to_i, e, f_1_to_k))

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} {\otimes}  a_{2} {\otimes}  \ldots {\otimes}  a_{i} {\otimes} b{\otimes} c_{1} {\otimes}  c_{2} {\otimes}  \ldots {\otimes}  c_{k}, d_{1} {\otimes}  d_{2} {\otimes}  \ldots {\otimes}  d_{i} {\otimes} e{\otimes} f_{1} {\otimes}  f_{2} {\otimes}  \ldots {\otimes}  f_{k}\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, 7, 8
4	Literal
5	ExprTuple	9, 10, 11
6	ExprRange	lambda_map: 12 start_index: 17 end_index: 15
7	Variable
8	ExprRange	lambda_map: 13 start_index: 17 end_index: 18
9	ExprRange	lambda_map: 14 start_index: 17 end_index: 15
10	Variable
11	ExprRange	lambda_map: 16 start_index: 17 end_index: 18
12	Lambda	parameter: 28 body: 19
13	Lambda	parameter: 28 body: 20
14	Lambda	parameter: 28 body: 21
15	Variable
16	Lambda	parameter: 28 body: 22
17	Literal
18	Variable
19	IndexedVar	variable: 23 index: 28
20	IndexedVar	variable: 24 index: 28
21	IndexedVar	variable: 25 index: 28
22	IndexedVar	variable: 26 index: 28
23	Variable
24	Variable
25	Variable
26	Variable
27	ExprTuple	28
28	Variable