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, gamma, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd, VecSum
from proveit.numbers import Add, Interval, Mult, four, one, two

# build up the expression from sub-expressions
sub_expr1 = [i]
sub_expr2 = Add(i, one)
sub_expr3 = Interval(two, four)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(ScalarMult(gamma, i), ScalarMult(beta, ScalarMult(sub_expr2, TensorProd(x, y)))), domain = sub_expr3), ScalarMult(Mult(gamma, beta), TensorProd(x, VecSum(index_or_indices = sub_expr1, summand = ScalarMult(Mult(i, sub_expr2), y), 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 i\right) \cdot \left(\beta \cdot \left(\left(i + 1\right) \cdot \left(x {\otimes} y\right)\right)\right)\right), \left(\gamma \cdot \beta\right) \cdot \left(x {\otimes} \left(\sum_{i=2}^{4} \left(\left(i \cdot \left(i + 1\right)\right) \cdot y\right)\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: 14 operand: 5
2	Operation	operator: 29 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7
5	Lambda	parameter: 49 body: 8
6	Operation	operator: 38 operands: 9
7	Operation	operator: 36 operands: 10
8	Conditional	value: 11 condition: 27
9	ExprTuple	23, 24
10	ExprTuple	42, 12
11	Operation	operator: 29 operands: 13
12	Operation	operator: 14 operand: 18
13	ExprTuple	16, 17
14	Literal
15	ExprTuple	18
16	Operation	operator: 29 operands: 19
17	Operation	operator: 29 operands: 20
18	Lambda	parameter: 49 body: 22
19	ExprTuple	23, 49
20	ExprTuple	24, 25
21	ExprTuple	49
22	Conditional	value: 26 condition: 27
23	Variable
24	Variable
25	Operation	operator: 29 operands: 28
26	Operation	operator: 29 operands: 30
27	Operation	operator: 31 operands: 32
28	ExprTuple	44, 33
29	Literal
30	ExprTuple	34, 43
31	Literal
32	ExprTuple	49, 35
33	Operation	operator: 36 operands: 37
34	Operation	operator: 38 operands: 39
35	Operation	operator: 40 operands: 41
36	Literal
37	ExprTuple	42, 43
38	Literal
39	ExprTuple	49, 44
40	Literal
41	ExprTuple	45, 46
42	Variable
43	Variable
44	Operation	operator: 47 operands: 48
45	Literal
46	Literal
47	Literal
48	ExprTuple	49, 50
49	Variable
50	Literal