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