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 IndexedVar, a, b, c, n
from proveit.numbers import Add, Neg, one, subtract, two

# build up the expression from sub-expressions
expr = Add(IndexedVar(a, subtract(n, one)), IndexedVar(a, n), b, Neg(c), Neg(IndexedVar(a, one)), Neg(IndexedVar(a, 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())

a_{n - 1} + a_{n} + b - c - a_{1} - a_{2}

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: 17 operands: 1
1	ExprTuple	2, 3, 4, 5, 6, 7
2	IndexedVar	variable: 19 index: 13
3	IndexedVar	variable: 19 index: 21
4	Variable
5	Operation	operator: 24 operand: 14
6	Operation	operator: 24 operand: 15
7	Operation	operator: 24 operand: 16
8	ExprTuple	13
9	ExprTuple	21
10	ExprTuple	14
11	ExprTuple	15
12	ExprTuple	16
13	Operation	operator: 17 operands: 18
14	Variable
15	IndexedVar	variable: 19 index: 26
16	IndexedVar	variable: 19 index: 23
17	Literal
18	ExprTuple	21, 22
19	Variable
20	ExprTuple	23
21	Variable
22	Operation	operator: 24 operand: 26
23	Literal
24	Literal
25	ExprTuple	26
26	Literal