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 = Exp(beta, two)
sub_expr3 = Interval(two, four)
expr = ExprTuple(ScalarMult(sub_expr2, VecSum(index_or_indices = sub_expr1, summand = TensorProd(x, y), domain = sub_expr3)), ScalarMult(sub_expr2, TensorProd(x, VecSum(index_or_indices = sub_expr1, summand = y, domain = sub_expr3))))

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