Expression of type VecSum

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 import Function, k, t, v
from proveit.linear_algebra import VecSum
from proveit.numbers import Exp, Interval, Neg, one, subtract, two, zero

# build up the expression from sub-expressions
expr = VecSum(index_or_indices = [k], summand = Function(v, [subtract(k, Neg(one))]), domain = Interval(subtract(zero, one), subtract(Exp(two, t), one)))

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())

\sum_{k=0 - 1}^{2^{t} - 1} v\left(k - \left(-1\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Lambda	parameter: 17 body: 5
4	ExprTuple	17
5	Conditional	value: 6 condition: 7
6	Operation	operator: 8 operand: 12
7	Operation	operator: 10 operands: 11
8	Variable
9	ExprTuple	12
10	Literal
11	ExprTuple	17, 13
12	Operation	operator: 23 operands: 14
13	Operation	operator: 15 operands: 16
14	ExprTuple	17, 18
15	Literal
16	ExprTuple	19, 20
17	Variable
18	Operation	operator: 30 operand: 27
19	Operation	operator: 23 operands: 22
20	Operation	operator: 23 operands: 24
21	ExprTuple	27
22	ExprTuple	25, 27
23	Literal
24	ExprTuple	26, 27
25	Literal
26	Operation	operator: 28 operands: 29
27	Operation	operator: 30 operand: 34
28	Literal
29	ExprTuple	32, 33
30	Literal
31	ExprTuple	34
32	Literal
33	Variable
34	Literal