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, VecSum(index_or_indices = sub_expr1, summand = ScalarMult(gamma, TensorProd(y, fi)), domain = sub_expr2), z), ScalarMult(gamma, TensorProd(x, y, 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} \left(\sum_{i=2}^{4} \left(\gamma \cdot \left(y {\otimes} f\left(i\right)\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: 24 operands: 3
2	Operation	operator: 18 operands: 4
3	ExprTuple	10, 5, 12
4	ExprTuple	21, 6
5	Operation	operator: 14 operand: 9
6	Operation	operator: 24 operands: 8
7	ExprTuple	9
8	ExprTuple	10, 28, 11, 12
9	Lambda	parameter: 35 body: 13
10	Variable
11	Operation	operator: 14 operand: 17
12	Variable
13	Conditional	value: 16 condition: 23
14	Literal
15	ExprTuple	17
16	Operation	operator: 18 operands: 19
17	Lambda	parameter: 35 body: 20
18	Literal
19	ExprTuple	21, 22
20	Conditional	value: 29 condition: 23
21	Variable
22	Operation	operator: 24 operands: 25
23	Operation	operator: 26 operands: 27
24	Literal
25	ExprTuple	28, 29
26	Literal
27	ExprTuple	35, 30
28	Variable
29	Operation	operator: 31 operand: 35
30	Operation	operator: 33 operands: 34
31	Variable
32	ExprTuple	35
33	Literal
34	ExprTuple	36, 37
35	Variable
36	Literal
37	Literal