Expression of type VecAdd

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

# build up the expression from sub-expressions
expr = VecAdd(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())

x + \left(a \cdot \left(b \cdot x\right)\right) + \left(x {\otimes} y\right) + \left(\sum_{i=1}^{9} \left(x {\otimes} y_{i}\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	23, 3, 4, 5
3	Operation	operator: 13 operands: 6
4	Operation	operator: 19 operands: 7
5	Operation	operator: 8 operand: 12
6	ExprTuple	10, 11
7	ExprTuple	23, 26
8	Literal
9	ExprTuple	12
10	Variable
11	Operation	operator: 13 operands: 14
12	Lambda	parameter: 30 body: 15
13	Literal
14	ExprTuple	16, 23
15	Conditional	value: 17 condition: 18
16	Variable
17	Operation	operator: 19 operands: 20
18	Operation	operator: 21 operands: 22
19	Literal
20	ExprTuple	23, 24
21	Literal
22	ExprTuple	30, 25
23	Variable
24	IndexedVar	variable: 26 index: 30
25	Operation	operator: 28 operands: 29
26	Variable
27	ExprTuple	30
28	Literal
29	ExprTuple	31, 32
30	Variable
31	Literal
32	Literal