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)
sub_expr3 = TensorProd(y, fi)
expr = ExprTuple(TensorProd(x, VecSum(index_or_indices = sub_expr1, summand = ScalarMult(gamma, sub_expr3), domain = sub_expr2), z), VecSum(index_or_indices = sub_expr1, summand = ScalarMult(gamma, TensorProd(x, sub_expr3, z)), 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(x {\otimes} \left(\sum_{i=2}^{4} \left(\gamma \cdot \left(y {\otimes} f\left(i\right)\right)\right)\right) {\otimes} z, \sum_{i=2}^{4} \left(\gamma \cdot \left(x {\otimes} \left(y {\otimes} f\left(i\right)\right) {\otimes} z\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: 29 operands: 3
2	Operation	operator: 7 operand: 6
3	ExprTuple	24, 5, 26
4	ExprTuple	6
5	Operation	operator: 7 operand: 10
6	Lambda	parameter: 37 body: 9
7	Literal
8	ExprTuple	10
9	Conditional	value: 11 condition: 15
10	Lambda	parameter: 37 body: 12
11	Operation	operator: 17 operands: 13
12	Conditional	value: 14 condition: 15
13	ExprTuple	22, 16
14	Operation	operator: 17 operands: 18
15	Operation	operator: 19 operands: 20
16	Operation	operator: 29 operands: 21
17	Literal
18	ExprTuple	22, 25
19	Literal
20	ExprTuple	37, 23
21	ExprTuple	24, 25, 26
22	Variable
23	Operation	operator: 27 operands: 28
24	Variable
25	Operation	operator: 29 operands: 30
26	Variable
27	Literal
28	ExprTuple	31, 32
29	Literal
30	ExprTuple	33, 34
31	Literal
32	Literal
33	Variable
34	Operation	operator: 35 operand: 37
35	Variable
36	ExprTuple	37
37	Variable