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, gamma, 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 = Interval(two, four)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(gamma, ScalarMult(i, TensorProd(x, y))), domain = sub_expr2), ScalarMult(gamma, TensorProd(x, VecSum(index_or_indices = sub_expr1, summand = ScalarMult(i, 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(\gamma \cdot \left(i \cdot \left(x {\otimes} y\right)\right)\right), \gamma \cdot \left(x {\otimes} \left(\sum_{i=2}^{4} \left(i \cdot y\right)\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: 12 operand: 5
2	Operation	operator: 25 operands: 4
3	ExprTuple	5
4	ExprTuple	14, 6
5	Lambda	parameter: 31 body: 7
6	Operation	operator: 23 operands: 8
7	Conditional	value: 9 condition: 22
8	ExprTuple	29, 10
9	Operation	operator: 25 operands: 11
10	Operation	operator: 12 operand: 16
11	ExprTuple	14, 15
12	Literal
13	ExprTuple	16
14	Variable
15	Operation	operator: 25 operands: 17
16	Lambda	parameter: 31 body: 19
17	ExprTuple	31, 20
18	ExprTuple	31
19	Conditional	value: 21 condition: 22
20	Operation	operator: 23 operands: 24
21	Operation	operator: 25 operands: 26
22	Operation	operator: 27 operands: 28
23	Literal
24	ExprTuple	29, 30
25	Literal
26	ExprTuple	31, 30
27	Literal
28	ExprTuple	31, 32
29	Variable
30	Variable
31	Variable
32	Operation	operator: 33 operands: 34
33	Literal
34	ExprTuple	35, 36
35	Literal
36	Literal