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, Function, V, s
from proveit.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k, f__b_1_to_j
from proveit.linear_algebra import ScalarMult, TensorProd

# build up the expression from sub-expressions
expr = ExprTuple(TensorProd(a_1_to_i, ScalarMult(Function(s, [b_1_to_j]), f__b_1_to_j), c_1_to_k), V)

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} \left(s\left(b_{1}, b_{2}, \ldots, b_{j}\right) \cdot f\left(b_{1}, b_{2}, \ldots, b_{j}\right)\right){\otimes} c_{1} {\otimes}  c_{2} {\otimes}  \ldots {\otimes}  c_{k}, V\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: 3 operands: 4
2	Variable
3	Literal
4	ExprTuple	5, 6, 7
5	ExprRange	lambda_map: 8 start_index: 25 end_index: 9
6	Operation	operator: 10 operands: 11
7	ExprRange	lambda_map: 12 start_index: 25 end_index: 13
8	Lambda	parameter: 30 body: 14
9	Variable
10	Literal
11	ExprTuple	15, 16
12	Lambda	parameter: 30 body: 17
13	Variable
14	IndexedVar	variable: 18 index: 30
15	Operation	operator: 19 operands: 21
16	Operation	operator: 20 operands: 21
17	IndexedVar	variable: 22 index: 30
18	Variable
19	Variable
20	Variable
21	ExprTuple	23
22	Variable
23	ExprRange	lambda_map: 24 start_index: 25 end_index: 26
24	Lambda	parameter: 30 body: 27
25	Literal
26	Variable
27	IndexedVar	variable: 28 index: 30
28	Variable
29	ExprTuple	30
30	Variable