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 Conditional, ExprTuple, Function, Lambda, s
from proveit.core_expr_types import Q__b_1_to_j, 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
sub_expr1 = [b_1_to_j]
expr = ExprTuple(Lambda(sub_expr1, Conditional(ScalarMult(Function(s, sub_expr1), TensorProd(a_1_to_i, f__b_1_to_j, c_1_to_k)), Q__b_1_to_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(\left(b_{1}, b_{2}, \ldots, b_{j}\right) \mapsto \left\{s\left(b_{1}, b_{2}, \ldots, b_{j}\right) \cdot \left(a_{1} {\otimes}  a_{2} {\otimes}  \ldots {\otimes}  a_{i} {\otimes} f\left(b_{1}, b_{2}, \ldots, b_{j}\right){\otimes} c_{1} {\otimes}  c_{2} {\otimes}  \ldots {\otimes}  c_{k}\right) \textrm{ if } Q\left(b_{1}, b_{2}, \ldots, b_{j}\right)\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 19 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 19
5	Literal
6	ExprTuple	8, 9
7	Variable
8	Operation	operator: 10 operands: 19
9	Operation	operator: 11 operands: 12
10	Variable
11	Literal
12	ExprTuple	13, 14, 15
13	ExprRange	lambda_map: 16 start_index: 27 end_index: 17
14	Operation	operator: 18 operands: 19
15	ExprRange	lambda_map: 20 start_index: 27 end_index: 21
16	Lambda	parameter: 33 body: 22
17	Variable
18	Variable
19	ExprTuple	23
20	Lambda	parameter: 33 body: 24
21	Variable
22	IndexedVar	variable: 25 index: 33
23	ExprRange	lambda_map: 26 start_index: 27 end_index: 28
24	IndexedVar	variable: 29 index: 33
25	Variable
26	Lambda	parameter: 33 body: 30
27	Literal
28	Variable
29	Variable
30	IndexedVar	variable: 31 index: 33
31	Variable
32	ExprTuple	33
33	Variable