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
expr = ExprTuple(Mult(gamma, beta), TensorProd(x, VecSum(index_or_indices = [i], summand = ScalarMult(Mult(i, Add(i, one)), y), domain = Interval(two, four))))

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