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, four, two

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Interval(two, four)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = TensorProd(ScalarMult(beta, x), ScalarMult(beta, y)), domain = sub_expr2), ScalarMult(Exp(beta, two), VecSum(index_or_indices = sub_expr1, summand = TensorProd(x, y), domain = sub_expr2)))

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), \beta^{2} \cdot \left(\sum_{i=2}^{4} \left(x {\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 operand: 5
2	Operation	operator: 23 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7
5	Lambda	parameter: 32 body: 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 11 operand: 14
8	Conditional	value: 13 condition: 21
9	Literal
10	ExprTuple	29, 36
11	Literal
12	ExprTuple	14
13	Operation	operator: 25 operands: 15
14	Lambda	parameter: 32 body: 17
15	ExprTuple	18, 19
16	ExprTuple	32
17	Conditional	value: 20 condition: 21
18	Operation	operator: 23 operands: 22
19	Operation	operator: 23 operands: 24
20	Operation	operator: 25 operands: 26
21	Operation	operator: 27 operands: 28
22	ExprTuple	29, 30
23	Literal
24	ExprTuple	29, 31
25	Literal
26	ExprTuple	30, 31
27	Literal
28	ExprTuple	32, 33
29	Variable
30	Variable
31	Variable
32	Variable
33	Operation	operator: 34 operands: 35
34	Literal
35	ExprTuple	36, 37
36	Literal
37	Literal