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(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(gamma, ScalarMult(beta, TensorProd(x, fi, y))), domain = sub_expr2), ScalarMult(Mult(gamma, beta), TensorProd(x, 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(\sum_{i=2}^{4} \left(\gamma \cdot \left(\beta \cdot \left(x {\otimes} f\left(i\right) {\otimes} y\right)\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: 15 operand: 5
2	Operation	operator: 20 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7
5	Lambda	parameter: 38 body: 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 26 operands: 11
8	Conditional	value: 12 condition: 25
9	Literal
10	ExprTuple	17, 23
11	ExprTuple	30, 13, 32
12	Operation	operator: 20 operands: 14
13	Operation	operator: 15 operand: 19
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	19
17	Variable
18	Operation	operator: 20 operands: 21
19	Lambda	parameter: 38 body: 22
20	Literal
21	ExprTuple	23, 24
22	Conditional	value: 31 condition: 25
23	Variable
24	Operation	operator: 26 operands: 27
25	Operation	operator: 28 operands: 29
26	Literal
27	ExprTuple	30, 31, 32
28	Literal
29	ExprTuple	38, 33
30	Variable
31	Operation	operator: 34 operand: 38
32	Variable
33	Operation	operator: 36 operands: 37
34	Variable
35	ExprTuple	38
36	Literal
37	ExprTuple	39, 40
38	Variable
39	Literal
40	Literal