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, beta, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd, VecSum
from proveit.numbers import Exp, Interval, four, two

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Interval(two, four)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = TensorProd(ScalarMult(beta, x), ScalarMult(beta, y)), domain = sub_expr2), ScalarMult(Exp(beta, two), TensorProd(x, VecSum(index_or_indices = sub_expr1, summand = y, domain = sub_expr2))))

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(\sum_{i=2}^{4} \left(\left(\beta \cdot x\right) {\otimes} \left(\beta \cdot y\right)\right), \beta^{2} \cdot \left(x {\otimes} \left(\sum_{i=2}^{4} y\right)\right)\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: 16 operand: 5
2	Operation	operator: 22 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7
5	Lambda	parameter: 32 body: 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 14 operands: 11
8	Conditional	value: 12 condition: 29
9	Literal
10	ExprTuple	27, 36
11	ExprTuple	26, 13
12	Operation	operator: 14 operands: 15
13	Operation	operator: 16 operand: 20
14	Literal
15	ExprTuple	18, 19
16	Literal
17	ExprTuple	20
18	Operation	operator: 22 operands: 21
19	Operation	operator: 22 operands: 23
20	Lambda	parameter: 32 body: 25
21	ExprTuple	27, 26
22	Literal
23	ExprTuple	27, 28
24	ExprTuple	32
25	Conditional	value: 28 condition: 29
26	Variable
27	Variable
28	Variable
29	Operation	operator: 30 operands: 31
30	Literal
31	ExprTuple	32, 33
32	Variable
33	Operation	operator: 34 operands: 35
34	Literal
35	ExprTuple	36, 37
36	Literal
37	Literal