Expression of type Mult

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 = Mult(IndexedVar(a, one), Sum(index_or_indices = [l], summand = Add(l, one), domain = Integer), ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, zero))

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} \cdot \left[\sum_{l \in \mathbb{Z}}~\left(l + 1\right)\right]\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{0}

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