Expression of type Add

from the theory of proveit.numbers.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 ExprRange, IndexedVar, Variable, a, b, c, n
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, Neg, one, subtract, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Add(Add(a_1_to_n, b), Add(Neg(c), Add(ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, subtract(n, 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(a_{1} +  a_{2} +  \ldots +  a_{n} + b\right) + \left(-c + \left(a_{1} +  a_{2} +  \ldots +  a_{n - 2}\right)\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: 18 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 18 operands: 4
3	Operation	operator: 18 operands: 5
4	ExprTuple	6, 7
5	ExprTuple	8, 9
6	ExprRange	lambda_map: 14 start_index: 15 end_index: 22
7	Variable
8	Operation	operator: 25 operand: 12
9	Operation	operator: 18 operands: 11
10	ExprTuple	12
11	ExprTuple	13
12	Variable
13	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
14	Lambda	parameter: 24 body: 17
15	Literal
16	Operation	operator: 18 operands: 19
17	IndexedVar	variable: 20 index: 24
18	Literal
19	ExprTuple	22, 23
20	Variable
21	ExprTuple	24
22	Variable
23	Operation	operator: 25 operand: 27
24	Variable
25	Literal
26	ExprTuple	27
27	Literal