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, Mult, four, three, two

# build up the expression from sub-expressions
expr = ExprTuple(VecSum(index_or_indices = [i], summand = TensorProd(ScalarMult(beta, x), ScalarMult(beta, y)), domain = Interval(two, four)), ScalarMult(Mult(three, Exp(beta, two)), TensorProd(x, 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(\sum_{i=2}^{4} \left(\left(\beta \cdot x\right) {\otimes} \left(\beta \cdot y\right)\right), \left(3 \cdot \beta^{2}\right) \cdot \left(x {\otimes} y\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: 3 operand: 6
2	Operation	operator: 29 operands: 5
3	Literal
4	ExprTuple	6
5	ExprTuple	7, 8
6	Lambda	parameter: 26 body: 10
7	Operation	operator: 11 operands: 12
8	Operation	operator: 18 operands: 13
9	ExprTuple	26
10	Conditional	value: 14 condition: 15
11	Literal
12	ExprTuple	16, 17
13	ExprTuple	33, 35
14	Operation	operator: 18 operands: 19
15	Operation	operator: 20 operands: 21
16	Literal
17	Operation	operator: 22 operands: 23
18	Literal
19	ExprTuple	24, 25
20	Literal
21	ExprTuple	26, 27
22	Literal
23	ExprTuple	34, 36
24	Operation	operator: 29 operands: 28
25	Operation	operator: 29 operands: 30
26	Variable
27	Operation	operator: 31 operands: 32
28	ExprTuple	34, 33
29	Literal
30	ExprTuple	34, 35
31	Literal
32	ExprTuple	36, 37
33	Variable
34	Variable
35	Variable
36	Literal
37	Literal