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)
sub_expr4 = ScalarMult(beta, y)
expr = ExprTuple(TensorProd(VecSum(index_or_indices = sub_expr1, summand = sub_expr2, domain = sub_expr3), sub_expr4), VecSum(index_or_indices = sub_expr1, summand = TensorProd(sub_expr2, sub_expr4), 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(\sum_{i=2}^{4} \left(\beta \cdot x\right)\right) {\otimes} \left(\beta \cdot y\right), \sum_{i=2}^{4} \left(\left(\beta \cdot x\right) {\otimes} \left(\beta \cdot 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: 14 operands: 3
2	Operation	operator: 7 operand: 6
3	ExprTuple	5, 18
4	ExprTuple	6
5	Operation	operator: 7 operand: 10
6	Lambda	parameter: 24 body: 9
7	Literal
8	ExprTuple	10
9	Conditional	value: 11 condition: 16
10	Lambda	parameter: 24 body: 13
11	Operation	operator: 14 operands: 15
12	ExprTuple	24
13	Conditional	value: 17 condition: 16
14	Literal
15	ExprTuple	17, 18
16	Operation	operator: 19 operands: 20
17	Operation	operator: 22 operands: 21
18	Operation	operator: 22 operands: 23
19	Literal
20	ExprTuple	24, 25
21	ExprTuple	27, 26
22	Literal
23	ExprTuple	27, 28
24	Variable
25	Operation	operator: 29 operands: 30
26	Variable
27	Variable
28	Variable
29	Literal
30	ExprTuple	31, 32
31	Literal
32	Literal