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 = TensorProd(x, y)
sub_expr4 = Interval(two, four)
expr = ExprTuple(VecSum(index_or_indices = sub_expr1, summand = ScalarMult(Mult(gamma, i, beta, sub_expr2), sub_expr3), domain = sub_expr4), VecSum(index_or_indices = sub_expr1, summand = ScalarMult(Mult(Mult(gamma, beta), Mult(i, sub_expr2)), 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(\gamma \cdot i \cdot \beta \cdot \left(i + 1\right)\right) \cdot \left(x {\otimes} y\right)\right), \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)\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: 4 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	Lambda	parameter: 43 body: 8
7	Lambda	parameter: 43 body: 10
8	Conditional	value: 11 condition: 13
9	ExprTuple	43
10	Conditional	value: 12 condition: 13
11	Operation	operator: 15 operands: 14
12	Operation	operator: 15 operands: 16
13	Operation	operator: 17 operands: 18
14	ExprTuple	19, 21
15	Literal
16	ExprTuple	20, 21
17	Literal
18	ExprTuple	43, 22
19	Operation	operator: 36 operands: 23
20	Operation	operator: 36 operands: 24
21	Operation	operator: 25 operands: 26
22	Operation	operator: 27 operands: 28
23	ExprTuple	38, 43, 39, 40
24	ExprTuple	29, 30
25	Literal
26	ExprTuple	31, 32
27	Literal
28	ExprTuple	33, 34
29	Operation	operator: 36 operands: 35
30	Operation	operator: 36 operands: 37
31	Variable
32	Variable
33	Literal
34	Literal
35	ExprTuple	38, 39
36	Literal
37	ExprTuple	43, 40
38	Variable
39	Variable
40	Operation	operator: 41 operands: 42
41	Literal
42	ExprTuple	43, 44
43	Variable
44	Literal