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, four, two

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