Expression of type VecAdd

from the theory of proveit.linear_algebra.addition

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.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k
from proveit.linear_algebra import VecAdd

# build up the expression from sub-expressions
expr = VecAdd(a_1_to_i, VecAdd(b_1_to_j), c_1_to_k)

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())

a_{1} +  a_{2} +  \ldots +  a_{i} + \left(b_{1} +  b_{2} +  \ldots +  b_{j}\right)+ c_{1} +  c_{2} +  \ldots +  c_{k}

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: 7 operands: 1
1	ExprTuple	2, 3, 4
2	ExprRange	lambda_map: 5 start_index: 16 end_index: 6
3	Operation	operator: 7 operands: 8
4	ExprRange	lambda_map: 9 start_index: 16 end_index: 10
5	Lambda	parameter: 22 body: 11
6	Variable
7	Literal
8	ExprTuple	12
9	Lambda	parameter: 22 body: 13
10	Variable
11	IndexedVar	variable: 14 index: 22
12	ExprRange	lambda_map: 15 start_index: 16 end_index: 17
13	IndexedVar	variable: 18 index: 22
14	Variable
15	Lambda	parameter: 22 body: 19
16	Literal
17	Variable
18	Variable
19	IndexedVar	variable: 20 index: 22
20	Variable
21	ExprTuple	22
22	Variable