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
from proveit.core_expr_types import a_1_to_i, c_1_to_k, d_1_to_i, e_1_to_k
from proveit.linear_algebra import TensorProd

# build up the expression from sub-expressions
expr = ExprTuple(TensorProd(a_1_to_i, c_1_to_k), TensorProd(d_1_to_i, e_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} c_{1} {\otimes}  c_{2} {\otimes}  \ldots {\otimes}  c_{k}, d_{1} {\otimes}  d_{2} {\otimes}  \ldots {\otimes}  d_{i}{\otimes} e_{1} {\otimes}  e_{2} {\otimes}  \ldots {\otimes}  e_{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
4	Literal
5	ExprTuple	8, 9
6	ExprRange	lambda_map: 10 start_index: 15 end_index: 13
7	ExprRange	lambda_map: 11 start_index: 15 end_index: 16
8	ExprRange	lambda_map: 12 start_index: 15 end_index: 13
9	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
10	Lambda	parameter: 26 body: 17
11	Lambda	parameter: 26 body: 18
12	Lambda	parameter: 26 body: 19
13	Variable
14	Lambda	parameter: 26 body: 20
15	Literal
16	Variable
17	IndexedVar	variable: 21 index: 26
18	IndexedVar	variable: 22 index: 26
19	IndexedVar	variable: 23 index: 26
20	IndexedVar	variable: 24 index: 26
21	Variable
22	Variable
23	Variable
24	Variable
25	ExprTuple	26
26	Variable