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, m
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, Neg, one, subtract

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Add(Add(ExprRange(sub_expr1, Neg(IndexedVar(a, sub_expr1)), one, m), b), subtract(Neg(c), Add(a_1_to_n)))

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_{m} + b\right) + \left(-c - \left(a_{1} +  a_{2} +  \ldots +  a_{n}\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: 19 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 19 operands: 4
3	Operation	operator: 19 operands: 5
4	ExprTuple	6, 7
5	ExprTuple	8, 9
6	ExprRange	lambda_map: 10 start_index: 23 end_index: 11
7	Variable
8	Operation	operator: 17 operand: 15
9	Operation	operator: 17 operand: 16
10	Lambda	parameter: 28 body: 14
11	Variable
12	ExprTuple	15
13	ExprTuple	16
14	Operation	operator: 17 operand: 25
15	Variable
16	Operation	operator: 19 operands: 20
17	Literal
18	ExprTuple	25
19	Literal
20	ExprTuple	21
21	ExprRange	lambda_map: 22 start_index: 23 end_index: 24
22	Lambda	parameter: 28 body: 25
23	Literal
24	Variable
25	IndexedVar	variable: 26 index: 28
26	Variable
27	ExprTuple	28
28	Variable