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, fi, gamma, i, x, y, z
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(TensorProd(x, y, VecSum(index_or_indices = sub_expr1, summand = ScalarMult(gamma, fi), domain = sub_expr2), z), TensorProd(x, y, ScalarMult(gamma, VecSum(index_or_indices = sub_expr1, summand = fi, domain = sub_expr2)), z))

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