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, Lambda, V
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 TensorProd
from proveit.logic import InSet

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([b_1_to_j], Conditional(InSet(TensorProd(a_1_to_i, f__b_1_to_j, c_1_to_k), V), 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\{\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) \in V \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: 18 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 18
5	Literal
6	ExprTuple	8, 9
7	Variable
8	Operation	operator: 10 operands: 11
9	Variable
10	Literal
11	ExprTuple	12, 13, 14
12	ExprRange	lambda_map: 15 start_index: 26 end_index: 16
13	Operation	operator: 17 operands: 18
14	ExprRange	lambda_map: 19 start_index: 26 end_index: 20
15	Lambda	parameter: 32 body: 21
16	Variable
17	Variable
18	ExprTuple	22
19	Lambda	parameter: 32 body: 23
20	Variable
21	IndexedVar	variable: 24 index: 32
22	ExprRange	lambda_map: 25 start_index: 26 end_index: 27
23	IndexedVar	variable: 28 index: 32
24	Variable
25	Lambda	parameter: 32 body: 29
26	Literal
27	Variable
28	Variable
29	IndexedVar	variable: 30 index: 32
30	Variable
31	ExprTuple	32
32	Variable