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(gamma, ScalarMult(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(\gamma \cdot \left(i \cdot \left(\beta \cdot \left(\left(i + 1\right) \cdot \left(x {\otimes} y\right)\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: 33 operands: 4
3	ExprTuple	5
4	ExprTuple	6, 7
5	Lambda	parameter: 49 body: 8
6	Operation	operator: 35 operands: 9
7	Operation	operator: 43 operands: 10
8	Conditional	value: 11 condition: 24
9	ExprTuple	16, 29
10	ExprTuple	47, 12
11	Operation	operator: 33 operands: 13
12	Operation	operator: 14 operand: 18
13	ExprTuple	16, 17
14	Literal
15	ExprTuple	18
16	Variable
17	Operation	operator: 33 operands: 19
18	Lambda	parameter: 49 body: 21
19	ExprTuple	49, 22
20	ExprTuple	49
21	Conditional	value: 23 condition: 24
22	Operation	operator: 33 operands: 25
23	Operation	operator: 33 operands: 26
24	Operation	operator: 27 operands: 28
25	ExprTuple	29, 30
26	ExprTuple	31, 48
27	Literal
28	ExprTuple	49, 32
29	Variable
30	Operation	operator: 33 operands: 34
31	Operation	operator: 35 operands: 36
32	Operation	operator: 37 operands: 38
33	Literal
34	ExprTuple	40, 39
35	Literal
36	ExprTuple	49, 40
37	Literal
38	ExprTuple	41, 42
39	Operation	operator: 43 operands: 44
40	Operation	operator: 45 operands: 46
41	Literal
42	Literal
43	Literal
44	ExprTuple	47, 48
45	Literal
46	ExprTuple	49, 50
47	Variable
48	Variable
49	Variable
50	Literal