Expression of type Sum

from the theory of proveit.numbers.summation

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 ExprRange, IndexedVar, Variable, a, c, l
from proveit.numbers import Add, Integer, Mult, Sum, one, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Sum(index_or_indices = [l], summand = Mult(IndexedVar(a, one), Add(l, one), ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, zero)), domain = Integer)

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_{l \in \mathbb{Z}}~\left(a_{1} \cdot \left(l + 1\right)\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{0}\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: 22 body: 5
4	ExprTuple	22
5	Conditional	value: 6 condition: 7
6	Operation	operator: 8 operands: 9
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	12, 13, 14
10	Literal
11	ExprTuple	22, 15
12	IndexedVar	variable: 16 index: 23
13	Operation	operator: 18 operands: 19
14	ExprRange	lambda_map: 20 start_index: 23 end_index: 21
15	Literal
16	Variable
17	ExprTuple	23
18	Literal
19	ExprTuple	22, 23
20	Lambda	parameter: 27 body: 24
21	Literal
22	Variable
23	Literal
24	IndexedVar	variable: 25 index: 27
25	Variable
26	ExprTuple	27
27	Variable