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)
sub_expr4 = TensorProd(x, fi, y)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(sub_expr2, sub_expr4), domain = sub_expr3), ScalarMult(sub_expr2, VecSum(index_or_indices = sub_expr1, summand = sub_expr4, domain = sub_expr3)))

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