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 = VecSum(index_or_indices = [i], summand = x, domain = Interval(two, four))
expr = ExprTuple(ScalarMult(beta, TensorProd(sub_expr1, ScalarMult(beta, y))), ScalarMult(beta, ScalarMult(beta, TensorProd(sub_expr1, y))))

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