Expression of type ExprTuple

from the theory of proveit.linear_algebra

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, IndexedVar, a, b, i, x, y
from proveit.linear_algebra import ScalarMult, TensorProd, VecSum
from proveit.numbers import Interval, nine, one

# build up the expression from sub-expressions
expr = ExprTuple(x, ScalarMult(a, ScalarMult(b, x)), TensorProd(x, y), VecSum(index_or_indices = [i], summand = TensorProd(x, IndexedVar(y, i)), domain = Interval(one, nine)))

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