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, 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, 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 x\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	20, 3, 4, 5
3	Operation	operator: 6 operands: 7
4	Operation	operator: 16 operands: 8
5	Operation	operator: 9 operand: 12
6	Literal
7	ExprTuple	11, 20
8	ExprTuple	20, 23
9	Literal
10	ExprTuple	12
11	Variable
12	Lambda	parameter: 27 body: 13
13	Conditional	value: 14 condition: 15
14	Operation	operator: 16 operands: 17
15	Operation	operator: 18 operands: 19
16	Literal
17	ExprTuple	20, 21
18	Literal
19	ExprTuple	27, 22
20	Variable
21	IndexedVar	variable: 23 index: 27
22	Operation	operator: 25 operands: 26
23	Variable
24	ExprTuple	27
25	Literal
26	ExprTuple	28, 29
27	Variable
28	Literal
29	Literal