Expression of type Add

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 a, k
from proveit.numbers import Add, Interval, Sum, nine, one, subtract, two

# build up the expression from sub-expressions
expr = Add(Sum(index_or_indices = [k], summand = subtract(k, two), domain = Interval(a, subtract(nine, one))), subtract(nine, two))

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())

\left(\sum_{k = a}^{9 - 1} \left(k - 2\right)\right) + \left(9 - 2\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: 24 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 4 operand: 7
3	Operation	operator: 24 operands: 6
4	Literal
5	ExprTuple	7
6	ExprTuple	26, 15
7	Lambda	parameter: 16 body: 9
8	ExprTuple	16
9	Conditional	value: 10 condition: 11
10	Operation	operator: 24 operands: 12
11	Operation	operator: 13 operands: 14
12	ExprTuple	16, 15
13	Literal
14	ExprTuple	16, 17
15	Operation	operator: 28 operand: 21
16	Variable
17	Operation	operator: 19 operands: 20
18	ExprTuple	21
19	Literal
20	ExprTuple	22, 23
21	Literal
22	Variable
23	Operation	operator: 24 operands: 25
24	Literal
25	ExprTuple	26, 27
26	Literal
27	Operation	operator: 28 operand: 30
28	Literal
29	ExprTuple	30
30	Literal