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 = Mult(gamma, beta)
sub_expr3 = TensorProd(x, y)
sub_expr4 = Interval(two, four)
sub_expr5 = Mult(i, Add(i, one))
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(Mult(sub_expr2, sub_expr5), sub_expr3), domain = sub_expr4), ScalarMult(sub_expr2, VecSum(index_or_indices = sub_expr1, summand = ScalarMult(sub_expr5, sub_expr3), domain = sub_expr4)))

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(\left(\gamma \cdot \beta\right) \cdot \left(i \cdot \left(i + 1\right)\right)\right) \cdot \left(x {\otimes} y\right)\right), \left(\gamma \cdot \beta\right) \cdot \left(\sum_{i=2}^{4} \left(\left(i \cdot \left(i + 1\right)\right) \cdot \left(x {\otimes} 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: 8 operand: 5
2	Operation	operator: 19 operands: 4
3	ExprTuple	5
4	ExprTuple	23, 6
5	Lambda	parameter: 43 body: 7
6	Operation	operator: 8 operand: 11
7	Conditional	value: 10 condition: 17
8	Literal
9	ExprTuple	11
10	Operation	operator: 19 operands: 12
11	Lambda	parameter: 43 body: 14
12	ExprTuple	15, 25
13	ExprTuple	43
14	Conditional	value: 16 condition: 17
15	Operation	operator: 28 operands: 18
16	Operation	operator: 19 operands: 20
17	Operation	operator: 21 operands: 22
18	ExprTuple	23, 24
19	Literal
20	ExprTuple	24, 25
21	Literal
22	ExprTuple	43, 26
23	Operation	operator: 28 operands: 27
24	Operation	operator: 28 operands: 29
25	Operation	operator: 30 operands: 31
26	Operation	operator: 32 operands: 33
27	ExprTuple	34, 35
28	Literal
29	ExprTuple	43, 36
30	Literal
31	ExprTuple	37, 38
32	Literal
33	ExprTuple	39, 40
34	Variable
35	Variable
36	Operation	operator: 41 operands: 42
37	Variable
38	Variable
39	Literal
40	Literal
41	Literal
42	ExprTuple	43, 44
43	Variable
44	Literal