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, V, 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
from proveit.logic import InSet

# build up the expression from sub-expressions
sub_expr1 = [b_1_to_j]
expr = ExprTuple(Lambda(sub_expr1, Conditional(InSet(TensorProd(a_1_to_i, ScalarMult(Function(s, sub_expr1), 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} \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}\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: 28 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 28
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: 32 end_index: 16
13	Operation	operator: 17 operands: 18
14	ExprRange	lambda_map: 19 start_index: 32 end_index: 20
15	Lambda	parameter: 37 body: 21
16	Variable
17	Literal
18	ExprTuple	22, 23
19	Lambda	parameter: 37 body: 24
20	Variable
21	IndexedVar	variable: 25 index: 37
22	Operation	operator: 26 operands: 28
23	Operation	operator: 27 operands: 28
24	IndexedVar	variable: 29 index: 37
25	Variable
26	Variable
27	Variable
28	ExprTuple	30
29	Variable
30	ExprRange	lambda_map: 31 start_index: 32 end_index: 33
31	Lambda	parameter: 37 body: 34
32	Literal
33	Variable
34	IndexedVar	variable: 35 index: 37
35	Variable
36	ExprTuple	37
37	Variable