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, beta, fi, gamma, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd, VecSum
from proveit.numbers import Interval, Mult, 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(ScalarMult(gamma, beta), fi), domain = sub_expr2), y), TensorProd(x, ScalarMult(Mult(gamma, beta), VecSum(index_or_indices = sub_expr1, summand = fi, domain = sub_expr2)), y))

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(\left(\gamma \cdot \beta\right) \cdot f\left(i\right)\right)\right) {\otimes} y, x {\otimes} \left(\left(\gamma \cdot \beta\right) \cdot \left(\sum_{i=2}^{4} f\left(i\right)\right)\right) {\otimes} y\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, 6, 9
4	Literal
5	ExprTuple	7, 8, 9
6	Operation	operator: 17 operand: 12
7	Variable
8	Operation	operator: 26 operands: 11
9	Variable
10	ExprTuple	12
11	ExprTuple	13, 14
12	Lambda	parameter: 34 body: 15
13	Operation	operator: 16 operands: 27
14	Operation	operator: 17 operand: 20
15	Conditional	value: 19 condition: 25
16	Literal
17	Literal
18	ExprTuple	20
19	Operation	operator: 26 operands: 21
20	Lambda	parameter: 34 body: 22
21	ExprTuple	23, 24
22	Conditional	value: 24 condition: 25
23	Operation	operator: 26 operands: 27
24	Operation	operator: 28 operand: 34
25	Operation	operator: 30 operands: 31
26	Literal
27	ExprTuple	32, 33
28	Variable
29	ExprTuple	34
30	Literal
31	ExprTuple	34, 35
32	Variable
33	Variable
34	Variable
35	Operation	operator: 36 operands: 37
36	Literal
37	ExprTuple	38, 39
38	Literal
39	Literal