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, x, y
from proveit.linear_algebra import ScalarMult, TensorProd
from proveit.numbers import Add, Exp, Mult, four, one, subtract, three, two

# build up the expression from sub-expressions
expr = ExprTuple(ScalarMult(Add(subtract(four, two), one), TensorProd(ScalarMult(beta, x), ScalarMult(beta, y))), 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(\left(\left(4 - 2\right) + 1\right) \cdot \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: 24 operands: 3
2	Operation	operator: 24 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	7, 8
5	Operation	operator: 21 operands: 9
6	Operation	operator: 13 operands: 10
7	Operation	operator: 11 operands: 12
8	Operation	operator: 13 operands: 14
9	ExprTuple	15, 16
10	ExprTuple	17, 18
11	Literal
12	ExprTuple	19, 20
13	Literal
14	ExprTuple	30, 31
15	Operation	operator: 21 operands: 22
16	Literal
17	Operation	operator: 24 operands: 23
18	Operation	operator: 24 operands: 25
19	Literal
20	Operation	operator: 26 operands: 27
21	Literal
22	ExprTuple	28, 29
23	ExprTuple	32, 30
24	Literal
25	ExprTuple	32, 31
26	Literal
27	ExprTuple	32, 35
28	Literal
29	Operation	operator: 33 operand: 35
30	Variable
31	Variable
32	Variable
33	Literal
34	ExprTuple	35
35	Literal