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