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