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 Interval, four, two

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = ScalarMult(beta, x)
sub_expr3 = Interval(two, four)
expr = ExprTuple(TensorProd(sub_expr2, VecSum(index_or_indices = sub_expr1, summand = ScalarMult(beta, y), domain = sub_expr3)), TensorProd(sub_expr2, ScalarMult(beta, 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(\left(\beta \cdot x\right) {\otimes} \left(\sum_{i=2}^{4} \left(\beta \cdot y\right)\right), \left(\beta \cdot x\right) {\otimes} \left(\beta \cdot \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: 16 operand: 12
7	Operation	operator: 20 operands: 10
8	Operation	operator: 20 operands: 11
9	ExprTuple	12
10	ExprTuple	24, 13
11	ExprTuple	24, 14
12	Lambda	parameter: 29 body: 15
13	Variable
14	Operation	operator: 16 operand: 19
15	Conditional	value: 18 condition: 26
16	Literal
17	ExprTuple	19
18	Operation	operator: 20 operands: 21
19	Lambda	parameter: 29 body: 23
20	Literal
21	ExprTuple	24, 25
22	ExprTuple	29
23	Conditional	value: 25 condition: 26
24	Variable
25	Variable
26	Operation	operator: 27 operands: 28
27	Literal
28	ExprTuple	29, 30
29	Variable
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Literal
34	Literal